How to Find GCF of 5474/492, 9641/8395?

GCF of 5474/492, 9641/8395

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 5474/492, 9641/8395 i.e 1/4130340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5474/492, 9641/8395.

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 5474/492,9641/8395?

Given fractions are 5474/492,9641/8395

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 5474/492,9641/8395, numerators are 5474,9641

Denominators are 492,8395

The GCF of 5474,9641 is 1 .

LCM of 492,8395 is 4130340.

The greatest common factor of 5474/492,9641/8395 = [GCF of 5474,9641]/[LCM of 492,8395]= 1/4130340

Therefore, the GCF of 5474/492,9641/8395 is 1/4130340.

Greatest Common Factor of 5474,9641

To find the highest common factor of 5474,9641, we have to find the factors of both numbers and list the highest common factor.

The factors of 5474 are 1, 2, 7, 14, 17, 23, 34, 46, 119, 161, 238, 322, 391, 782, 2737, 5474

The factors of 9641 are 1, 31, 311, 9641

The HCF of 5474,9641 is 1.

Lets's calculate GCF of 5474,9641

Greatest Common Factor (GCF) of 5474,9641 By Common Division

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

Greatest Common Factor of 5474,9641 By Matching Biggest Common Factor Method

Now, list down the factors of 5474

1,2,7,14,17,23,34,46,119,161,238,322,391,782,2737,5474

Now, list down the factors of 9641

1,31,311,9641

Greatest Common Factor

We found the factors 5474,9641 . The biggest common factor number is the GCF number.
So the greatest common factor 5474,9641 is 1.

Lets's calculate LCM of 492,8395

Lowest Common Multiple of 492,8395 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4130340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4130340

Therefore, the GCF of Fractions 5474/492,9641/8395 is 1/4130340

Least Common Multiple of 492,8395 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 492,8395 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(492,8395) = 1

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

GCF(492,8395) x common factors =1 x 1 = 1

LCM(492,8395) = ( 492 × 8395 ) / 1

LCM(492,8395) = 4130340 / 1

LCM(492,8395) = 4130340

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FAQs on GCF of Fractions of 5474/492, 9641/8395

1. What is the HCF of 5474,9641?

The HCF of 5474,9641 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 5474/492, 9641/8395?

Answer: GCF of Numerators as per given numbers 5474/492, 9641/8395 is

GCF of Numerators i.e. for 5474,9641 is 1

LCM of denominators i.e. for 492,8395 is 4130340.

Thus, GCF of Fractions is 1/4130340.Finally, GCF of Fractions for 5474/492, 9641/8395 is 1/4130340.