How to Find GCF of 1177/976, 7894/328?

GCF of 1177/976, 7894/328

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 1177/976, 7894/328 i.e 1/40016 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1177/976, 7894/328.

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 1177/976,7894/328?

Given fractions are 1177/976,7894/328

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 1177/976,7894/328, numerators are 1177,7894

Denominators are 976,328

The GCF of 1177,7894 is 1 .

LCM of 976,328 is 40016.

The greatest common factor of 1177/976,7894/328 = [GCF of 1177,7894]/[LCM of 976,328]= 1/40016

Therefore, the GCF of 1177/976,7894/328 is 1/40016.

Greatest Common Factor of 1177,7894

To find the highest common factor of 1177,7894, we have to find the factors of both numbers and list the highest common factor.

The factors of 1177 are 1, 11, 107, 1177

The factors of 7894 are 1, 2, 3947, 7894

The HCF of 1177,7894 is 1.

Lets's calculate GCF of 1177,7894

Greatest Common Factor (GCF) of 1177,7894 By Common Division

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

Greatest Common Factor of 1177,7894 By Matching Biggest Common Factor Method

Now, list down the factors of 1177

1,11,107,1177

Now, list down the factors of 7894

1,2,3947,7894

Greatest Common Factor

We found the factors 1177,7894 . The biggest common factor number is the GCF number.
So the greatest common factor 1177,7894 is 1.

Lets's calculate LCM of 976,328

Lowest Common Multiple of 976,328 using Common Division

2	976, 328
2	488, 164
2	244, 82
	122, 41

∴ So the LCM of the given numbers is 2 x 2 x 2 x 122 x 41 = 40016

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40016

Therefore, the GCF of Fractions 1177/976,7894/328 is 1/40016

Least Common Multiple of 976,328 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 976,328 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(976,328) = 8

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

GCF(976,328) x common factors =8 x 1 = 8

LCM(976,328) = ( 976 × 328 ) / 8

LCM(976,328) = 320128 / 8

LCM(976,328) = 40016

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FAQs on GCF of Fractions of 1177/976, 7894/328

1. What is the HCF of 1177,7894?

The HCF of 1177,7894 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 1177/976, 7894/328?

Answer: GCF of Numerators as per given numbers 1177/976, 7894/328 is

GCF of Numerators i.e. for 1177,7894 is 1

LCM of denominators i.e. for 976,328 is 40016.

Thus, GCF of Fractions is 1/40016.Finally, GCF of Fractions for 1177/976, 7894/328 is 1/40016.