How to Find GCF of 957/725, 7018/854?

GCF of 957/725, 7018/854

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 957/725, 7018/854 i.e 319/619150 easily. The following is the detailed procedure to determine the greatest common factor of fractions 957/725, 7018/854.

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 957/725,7018/854?

Given fractions are 957/725,7018/854

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 957/725,7018/854, numerators are 957,7018

Denominators are 725,854

The GCF of 957,7018 is 319 .

LCM of 725,854 is 619150.

The greatest common factor of 957/725,7018/854 = [GCF of 957,7018]/[LCM of 725,854]= 319/619150

Therefore, the GCF of 957/725,7018/854 is 319/619150.

Greatest Common Factor of 957,7018

To find the highest common factor of 957,7018, we have to find the factors of both numbers and list the highest common factor.

The factors of 957 are 1, 3, 11, 29, 33, 87, 319, 957

The factors of 7018 are 1, 2, 11, 22, 29, 58, 121, 242, 319, 638, 3509, 7018

The HCF of 957,7018 is 319.

Lets's calculate GCF of 957,7018

Greatest Common Factor (GCF) of 957,7018 By Common Division

11	957, 7018
29	87, 638
	3, 22

∴ So the GCF of the given numbers is 11 x 29 = 319

Greatest Common Factor of 957,7018 By Matching Biggest Common Factor Method

Now, list down the factors of 957

1,3,11,29,33,87,319,957

Now, list down the factors of 7018

1,2,11,22,29,58,121,242,319,638,3509,7018

Greatest Common Factor

We found the factors 957,7018 . The biggest common factor number is the GCF number.
So the greatest common factor 957,7018 is 319.

Lets's calculate LCM of 725,854

Lowest Common Multiple of 725,854 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 619150

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 319/619150

Therefore, the GCF of Fractions 957/725,7018/854 is 319/619150

Least Common Multiple of 725,854 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 725,854 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(725,854) = 1

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

GCF(725,854) x common factors =1 x 1 = 1

LCM(725,854) = ( 725 × 854 ) / 1

LCM(725,854) = 619150 / 1

LCM(725,854) = 619150

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FAQs on GCF of Fractions of 957/725, 7018/854

1. What is the HCF of 957,7018?

The HCF of 957,7018 is 319

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 957/725, 7018/854?

Answer: GCF of Numerators as per given numbers 957/725, 7018/854 is

GCF of Numerators i.e. for 957,7018 is 319

LCM of denominators i.e. for 725,854 is 619150.

Thus, GCF of Fractions is 319/619150.Finally, GCF of Fractions for 957/725, 7018/854 is 319/619150.