How to Find GCF of 5402/768, 7927/2458?

GCF of 5402/768, 7927/2458

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 5402/768, 7927/2458 i.e 1/943872 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5402/768, 7927/2458.

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 5402/768,7927/2458?

Given fractions are 5402/768,7927/2458

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 5402/768,7927/2458, numerators are 5402,7927

Denominators are 768,2458

The GCF of 5402,7927 is 1 .

LCM of 768,2458 is 943872.

The greatest common factor of 5402/768,7927/2458 = [GCF of 5402,7927]/[LCM of 768,2458]= 1/943872

Therefore, the GCF of 5402/768,7927/2458 is 1/943872.

Greatest Common Factor of 5402,7927

To find the highest common factor of 5402,7927, we have to find the factors of both numbers and list the highest common factor.

The factors of 5402 are 1, 2, 37, 73, 74, 146, 2701, 5402

The factors of 7927 are 1, 7927

The HCF of 5402,7927 is 1.

Lets's calculate GCF of 5402,7927

Greatest Common Factor (GCF) of 5402,7927 By Common Division

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

Greatest Common Factor of 5402,7927 By Matching Biggest Common Factor Method

Now, list down the factors of 5402

1,2,37,73,74,146,2701,5402

Now, list down the factors of 7927

1,7927

Greatest Common Factor

We found the factors 5402,7927 . The biggest common factor number is the GCF number.
So the greatest common factor 5402,7927 is 1.

Lets's calculate LCM of 768,2458

Lowest Common Multiple of 768,2458 using Common Division

2	768, 2458
	384, 1229

∴ So the LCM of the given numbers is 2 x 384 x 1229 = 943872

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/943872

Therefore, the GCF of Fractions 5402/768,7927/2458 is 1/943872

Least Common Multiple of 768,2458 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 768,2458 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(768,2458) = 2

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

GCF(768,2458) x common factors =2 x 1 = 2

LCM(768,2458) = ( 768 × 2458 ) / 2

LCM(768,2458) = 1887744 / 2

LCM(768,2458) = 943872

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FAQs on GCF of Fractions of 5402/768, 7927/2458

1. What is the HCF of 5402,7927?

The HCF of 5402,7927 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 5402/768, 7927/2458?

Answer: GCF of Numerators as per given numbers 5402/768, 7927/2458 is

GCF of Numerators i.e. for 5402,7927 is 1

LCM of denominators i.e. for 768,2458 is 943872.

Thus, GCF of Fractions is 1/943872.Finally, GCF of Fractions for 5402/768, 7927/2458 is 1/943872.