How to Find GCF of 7951/296, 1737/6430?

GCF of 7951/296, 1737/6430

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 7951/296, 1737/6430 i.e 1/951640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7951/296, 1737/6430.

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 7951/296,1737/6430?

Given fractions are 7951/296,1737/6430

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 7951/296,1737/6430, numerators are 7951,1737

Denominators are 296,6430

The GCF of 7951,1737 is 1 .

LCM of 296,6430 is 951640.

The greatest common factor of 7951/296,1737/6430 = [GCF of 7951,1737]/[LCM of 296,6430]= 1/951640

Therefore, the GCF of 7951/296,1737/6430 is 1/951640.

Greatest Common Factor of 7951,1737

To find the highest common factor of 7951,1737, we have to find the factors of both numbers and list the highest common factor.

The factors of 7951 are 1, 7951

The factors of 1737 are 1, 3, 9, 193, 579, 1737

The HCF of 7951,1737 is 1.

Lets's calculate GCF of 7951,1737

Greatest Common Factor (GCF) of 7951,1737 By Common Division

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

Greatest Common Factor of 7951,1737 By Matching Biggest Common Factor Method

Now, list down the factors of 7951

1,7951

Now, list down the factors of 1737

1,3,9,193,579,1737

Greatest Common Factor

We found the factors 7951,1737 . The biggest common factor number is the GCF number.
So the greatest common factor 7951,1737 is 1.

Lets's calculate LCM of 296,6430

Lowest Common Multiple of 296,6430 using Common Division

2	296, 6430
	148, 3215

∴ So the LCM of the given numbers is 2 x 148 x 3215 = 951640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/951640

Therefore, the GCF of Fractions 7951/296,1737/6430 is 1/951640

Least Common Multiple of 296,6430 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 296,6430 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(296,6430) = 2

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

GCF(296,6430) x common factors =2 x 1 = 2

LCM(296,6430) = ( 296 × 6430 ) / 2

LCM(296,6430) = 1903280 / 2

LCM(296,6430) = 951640

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FAQs on GCF of Fractions of 7951/296, 1737/6430

1. What is the HCF of 7951,1737?

The HCF of 7951,1737 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 7951/296, 1737/6430?

Answer: GCF of Numerators as per given numbers 7951/296, 1737/6430 is

GCF of Numerators i.e. for 7951,1737 is 1

LCM of denominators i.e. for 296,6430 is 951640.

Thus, GCF of Fractions is 1/951640.Finally, GCF of Fractions for 7951/296, 1737/6430 is 1/951640.