How to Find GCF of 1157/466, 7914/3969?

GCF of 1157/466, 7914/3969

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 1157/466, 7914/3969 i.e 1/1849554 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1157/466, 7914/3969.

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 1157/466,7914/3969?

Given fractions are 1157/466,7914/3969

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 1157/466,7914/3969, numerators are 1157,7914

Denominators are 466,3969

The GCF of 1157,7914 is 1 .

LCM of 466,3969 is 1849554.

The greatest common factor of 1157/466,7914/3969 = [GCF of 1157,7914]/[LCM of 466,3969]= 1/1849554

Therefore, the GCF of 1157/466,7914/3969 is 1/1849554.

Greatest Common Factor of 1157,7914

To find the highest common factor of 1157,7914, we have to find the factors of both numbers and list the highest common factor.

The factors of 1157 are 1, 13, 89, 1157

The factors of 7914 are 1, 2, 3, 6, 1319, 2638, 3957, 7914

The HCF of 1157,7914 is 1.

Lets's calculate GCF of 1157,7914

Greatest Common Factor (GCF) of 1157,7914 By Common Division

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

Greatest Common Factor of 1157,7914 By Matching Biggest Common Factor Method

Now, list down the factors of 1157

1,13,89,1157

Now, list down the factors of 7914

1,2,3,6,1319,2638,3957,7914

Greatest Common Factor

We found the factors 1157,7914 . The biggest common factor number is the GCF number.
So the greatest common factor 1157,7914 is 1.

Lets's calculate LCM of 466,3969

Lowest Common Multiple of 466,3969 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1849554

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1849554

Therefore, the GCF of Fractions 1157/466,7914/3969 is 1/1849554

Least Common Multiple of 466,3969 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 466,3969 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(466,3969) = 1

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

GCF(466,3969) x common factors =1 x 1 = 1

LCM(466,3969) = ( 466 × 3969 ) / 1

LCM(466,3969) = 1849554 / 1

LCM(466,3969) = 1849554

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FAQs on GCF of Fractions of 1157/466, 7914/3969

1. What is the HCF of 1157,7914?

The HCF of 1157,7914 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 1157/466, 7914/3969?

Answer: GCF of Numerators as per given numbers 1157/466, 7914/3969 is

GCF of Numerators i.e. for 1157,7914 is 1

LCM of denominators i.e. for 466,3969 is 1849554.

Thus, GCF of Fractions is 1/1849554.Finally, GCF of Fractions for 1157/466, 7914/3969 is 1/1849554.