How to Find GCF of 5267/858, 6316/1408?

GCF of 5267/858, 6316/1408

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 5267/858, 6316/1408 i.e 1/54912 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5267/858, 6316/1408.

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 5267/858,6316/1408?

Given fractions are 5267/858,6316/1408

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 5267/858,6316/1408, numerators are 5267,6316

Denominators are 858,1408

The GCF of 5267,6316 is 1 .

LCM of 858,1408 is 54912.

The greatest common factor of 5267/858,6316/1408 = [GCF of 5267,6316]/[LCM of 858,1408]= 1/54912

Therefore, the GCF of 5267/858,6316/1408 is 1/54912.

Greatest Common Factor of 5267,6316

To find the highest common factor of 5267,6316, we have to find the factors of both numbers and list the highest common factor.

The factors of 5267 are 1, 23, 229, 5267

The factors of 6316 are 1, 2, 4, 1579, 3158, 6316

The HCF of 5267,6316 is 1.

Lets's calculate GCF of 5267,6316

Greatest Common Factor (GCF) of 5267,6316 By Common Division

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

Greatest Common Factor of 5267,6316 By Matching Biggest Common Factor Method

Now, list down the factors of 5267

1,23,229,5267

Now, list down the factors of 6316

1,2,4,1579,3158,6316

Greatest Common Factor

We found the factors 5267,6316 . The biggest common factor number is the GCF number.
So the greatest common factor 5267,6316 is 1.

Lets's calculate LCM of 858,1408

Lowest Common Multiple of 858,1408 using Common Division

2	858, 1408
11	429, 704
	39, 64

∴ So the LCM of the given numbers is 2 x 11 x 39 x 64 = 54912

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/54912

Therefore, the GCF of Fractions 5267/858,6316/1408 is 1/54912

Least Common Multiple of 858,1408 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 858,1408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(858,1408) = 22

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

GCF(858,1408) x common factors =22 x 1 = 22

LCM(858,1408) = ( 858 × 1408 ) / 22

LCM(858,1408) = 1208064 / 22

LCM(858,1408) = 54912

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FAQs on GCF of Fractions of 5267/858, 6316/1408

1. What is the HCF of 5267,6316?

The HCF of 5267,6316 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 5267/858, 6316/1408?

Answer: GCF of Numerators as per given numbers 5267/858, 6316/1408 is

GCF of Numerators i.e. for 5267,6316 is 1

LCM of denominators i.e. for 858,1408 is 54912.

Thus, GCF of Fractions is 1/54912.Finally, GCF of Fractions for 5267/858, 6316/1408 is 1/54912.