How to Find GCF of 353/930, 9874/9610?

GCF of 353/930, 9874/9610

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 353/930, 9874/9610 i.e 1/28830 easily. The following is the detailed procedure to determine the greatest common factor of fractions 353/930, 9874/9610.

Enter two or more fractions separated by "commas"

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

What is the GCF of 353/930,9874/9610?

Given fractions are 353/930,9874/9610

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 353/930,9874/9610, numerators are 353,9874

Denominators are 930,9610

The GCF of 353,9874 is 1 .

LCM of 930,9610 is 28830.

The greatest common factor of 353/930,9874/9610 = [GCF of 353,9874]/[LCM of 930,9610]= 1/28830

Therefore, the GCF of 353/930,9874/9610 is 1/28830.

Greatest Common Factor of 353,9874

To find the highest common factor of 353,9874, we have to find the factors of both numbers and list the highest common factor.

The factors of 353 are 1, 353

The factors of 9874 are 1, 2, 4937, 9874

The HCF of 353,9874 is 1.

Lets's calculate GCF of 353,9874

Greatest Common Factor (GCF) of 353,9874 By Common Division

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

Greatest Common Factor of 353,9874 By Matching Biggest Common Factor Method

Now, list down the factors of 353

1,353

Now, list down the factors of 9874

1,2,4937,9874

Greatest Common Factor

We found the factors 353,9874 . The biggest common factor number is the GCF number.
So the greatest common factor 353,9874 is 1.

Lets's calculate LCM of 930,9610

Lowest Common Multiple of 930,9610 using Common Division

2	930, 9610
5	465, 4805
31	93, 961
	3, 31

∴ So the LCM of the given numbers is 2 x 5 x 31 x 3 x 31 = 28830

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28830

Therefore, the GCF of Fractions 353/930,9874/9610 is 1/28830

Least Common Multiple of 930,9610 with GCF Formula

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

We need to calculate greatest common factor of 930,9610 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(930,9610) = 310

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

GCF(930,9610) x common factors =310 x 1 = 310

LCM(930,9610) = ( 930 × 9610 ) / 310

LCM(930,9610) = 8937300 / 310

LCM(930,9610) = 28830

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FAQs on GCF of Fractions of 353/930, 9874/9610

1. What is the HCF of 353,9874?

The HCF of 353,9874 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 353/930, 9874/9610?

Answer: GCF of Numerators as per given numbers 353/930, 9874/9610 is

GCF of Numerators i.e. for 353,9874 is 1

LCM of denominators i.e. for 930,9610 is 28830.

Thus, GCF of Fractions is 1/28830.Finally, GCF of Fractions for 353/930, 9874/9610 is 1/28830.