How to Find GCF of 785/91, 353/975?

GCF of 785/91, 353/975

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 785/91, 353/975 i.e 1/6825 easily. The following is the detailed procedure to determine the greatest common factor of fractions 785/91, 353/975.

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 785/91,353/975?

Given fractions are 785/91,353/975

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 785/91,353/975, numerators are 785,353

Denominators are 91,975

The GCF of 785,353 is 1 .

LCM of 91,975 is 6825.

The greatest common factor of 785/91,353/975 = [GCF of 785,353]/[LCM of 91,975]= 1/6825

Therefore, the GCF of 785/91,353/975 is 1/6825.

Greatest Common Factor of 785,353

To find the highest common factor of 785,353, we have to find the factors of both numbers and list the highest common factor.

The factors of 785 are 1, 5, 157, 785

The factors of 353 are 1, 353

The HCF of 785,353 is 1.

Lets's calculate GCF of 785,353

Greatest Common Factor (GCF) of 785,353 By Common Division

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

Greatest Common Factor of 785,353 By Matching Biggest Common Factor Method

Now, list down the factors of 785

1,5,157,785

Now, list down the factors of 353

1,353

Greatest Common Factor

We found the factors 785,353 . The biggest common factor number is the GCF number.
So the greatest common factor 785,353 is 1.

Lets's calculate LCM of 91,975

Lowest Common Multiple of 91,975 using Common Division

13	91, 975
	7, 75

∴ So the LCM of the given numbers is 13 x 7 x 75 = 6825

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6825

Therefore, the GCF of Fractions 785/91,353/975 is 1/6825

Least Common Multiple of 91,975 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 91,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,975) = 13

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

GCF(91,975) x common factors =13 x 1 = 13

LCM(91,975) = ( 91 × 975 ) / 13

LCM(91,975) = 88725 / 13

LCM(91,975) = 6825

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FAQs on GCF of Fractions of 785/91, 353/975

1. What is the HCF of 785,353?

The HCF of 785,353 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 785/91, 353/975?

Answer: GCF of Numerators as per given numbers 785/91, 353/975 is

GCF of Numerators i.e. for 785,353 is 1

LCM of denominators i.e. for 91,975 is 6825.

Thus, GCF of Fractions is 1/6825.Finally, GCF of Fractions for 785/91, 353/975 is 1/6825.