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GCF of 4922/492, 5711/174

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 4922/492, 5711/174 i.e 1/14268 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4922/492, 5711/174.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 4922/492,5711/174?

Given fractions are 4922/492,5711/174

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 4922/492,5711/174, numerators are 4922,5711

Denominators are 492,174

The GCF of 4922,5711 is 1 .

LCM of 492,174 is 14268.

The greatest common factor of 4922/492,5711/174 = [GCF of 4922,5711]/[LCM of 492,174]= 1/14268

Therefore, the GCF of 4922/492,5711/174 is 1/14268.

Greatest Common Factor of 4922,5711

To find the highest common factor of 4922,5711, we have to find the factors of both numbers and list the highest common factor.

The factors of 4922 are 1, 2, 23, 46, 107, 214, 2461, 4922

The factors of 5711 are 1, 5711

The HCF of 4922,5711 is 1.

Lets's calculate GCF of 4922,5711

Greatest Common Factor (GCF) of 4922,5711 By Common Division

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

Greatest Common Factor of 4922,5711 By Matching Biggest Common Factor Method

Greatest Common Factor of 4922,5711 By Matching Biggest Common Factor Method

Now, list down the factors of 4922

:

1,2,23,46,107,214,2461,4922

Now, list down the factors of 5711

:

1,5711

Greatest Common Factor

We found the factors 4922,5711 . The biggest common factor number is the GCF number.
So the greatest common factor 4922,5711 is 1.

Lets's calculate LCM of 492,174

Lowest Common Multiple of 492,174 using Common Division

2 492, 174
3 246, 87
82, 29

∴ So the LCM of the given numbers is 2 x 3 x 82 x 29 = 14268

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14268

Therefore, the GCF of Fractions 4922/492,5711/174 is 1/14268

Least Common Multiple of 492,174 with GCF Formula

Least Common Multiple of 492,174 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 492,174 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(492,174) = 6

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

GCF(492,174) x common factors =6 x 1 = 6

LCM(492,174) = ( 492 × 174 ) / 6

LCM(492,174) = 85608 / 6

LCM(492,174) = 14268


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FAQs on GCF of Fractions of 4922/492, 5711/174

1. What is the HCF of 4922,5711?

The HCF of 4922,5711 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 4922/492, 5711/174?

Answer: GCF of Numerators as per given numbers 4922/492, 5711/174 is

GCF of Numerators i.e. for 4922,5711 is 1

LCM of denominators i.e. for 492,174 is 14268.

Thus, GCF of Fractions is 1/14268.Finally, GCF of Fractions for 4922/492, 5711/174 is 1/14268.