LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 934/38, 859/785

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 934/38, 859/785 i.e 1/29830 easily. The following is the detailed procedure to determine the greatest common factor of fractions 934/38, 859/785.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 934/38,859/785?

Given fractions are 934/38,859/785

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 934/38,859/785, numerators are 934,859

Denominators are 38,785

The GCF of 934,859 is 1 .

LCM of 38,785 is 29830.

The greatest common factor of 934/38,859/785 = [GCF of 934,859]/[LCM of 38,785]= 1/29830

Therefore, the GCF of 934/38,859/785 is 1/29830.

Greatest Common Factor of 934,859

To find the highest common factor of 934,859, we have to find the factors of both numbers and list the highest common factor.

The factors of 934 are 1, 2, 467, 934

The factors of 859 are 1, 859

The HCF of 934,859 is 1.

Lets's calculate GCF of 934,859

Greatest Common Factor (GCF) of 934,859 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 934,859 By Matching Biggest Common Factor Method

Greatest Common Factor of 934,859 By Matching Biggest Common Factor Method

Now, list down the factors of 934

:

1,2,467,934

Now, list down the factors of 859

:

1,859

Greatest Common Factor

We found the factors 934,859 . The biggest common factor number is the GCF number.
So the greatest common factor 934,859 is 1.

Lets's calculate LCM of 38,785

Lowest Common Multiple of 38,785 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 29830

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29830

Therefore, the GCF of Fractions 934/38,859/785 is 1/29830

Least Common Multiple of 38,785 with GCF Formula

Least Common Multiple of 38,785 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 38,785 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,785) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(38,785) x common factors =1 x 1 = 1

LCM(38,785) = ( 38 × 785 ) / 1

LCM(38,785) = 29830 / 1

LCM(38,785) = 29830


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 934/38, 859/785

1. What is the HCF of 934,859?

The HCF of 934,859 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 934/38, 859/785?

Answer: GCF of Numerators as per given numbers 934/38, 859/785 is

GCF of Numerators i.e. for 934,859 is 1

LCM of denominators i.e. for 38,785 is 29830.

Thus, GCF of Fractions is 1/29830.Finally, GCF of Fractions for 934/38, 859/785 is 1/29830.