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GCF of 147/274, 4923/763

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 147/274, 4923/763 i.e 3/209062 easily. The following is the detailed procedure to determine the greatest common factor of fractions 147/274, 4923/763.

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 147/274,4923/763?

Given fractions are 147/274,4923/763

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 147/274,4923/763, numerators are 147,4923

Denominators are 274,763

The GCF of 147,4923 is 3 .

LCM of 274,763 is 209062.

The greatest common factor of 147/274,4923/763 = [GCF of 147,4923]/[LCM of 274,763]= 3/209062

Therefore, the GCF of 147/274,4923/763 is 3/209062.

Greatest Common Factor of 147,4923

To find the highest common factor of 147,4923, we have to find the factors of both numbers and list the highest common factor.

The factors of 147 are 1, 3, 7, 21, 49, 147

The factors of 4923 are 1, 3, 9, 547, 1641, 4923

The HCF of 147,4923 is 3.

Lets's calculate GCF of 147,4923

Greatest Common Factor (GCF) of 147,4923 By Common Division

3 147, 4923
49, 1641

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 147,4923 By Matching Biggest Common Factor Method

Greatest Common Factor of 147,4923 By Matching Biggest Common Factor Method

Now, list down the factors of 147

:

1,3,7,21,49,147

Now, list down the factors of 4923

:

1,3,9,547,1641,4923

Greatest Common Factor

We found the factors 147,4923 . The biggest common factor number is the GCF number.
So the greatest common factor 147,4923 is 3.

Lets's calculate LCM of 274,763

Lowest Common Multiple of 274,763 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 209062

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/209062

Therefore, the GCF of Fractions 147/274,4923/763 is 3/209062

Least Common Multiple of 274,763 with GCF Formula

Least Common Multiple of 274,763 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 274,763 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(274,763) = 1

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

GCF(274,763) x common factors =1 x 1 = 1

LCM(274,763) = ( 274 × 763 ) / 1

LCM(274,763) = 209062 / 1

LCM(274,763) = 209062


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FAQs on GCF of Fractions of 147/274, 4923/763

1. What is the HCF of 147,4923?

The HCF of 147,4923 is 3

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 147/274, 4923/763?

Answer: GCF of Numerators as per given numbers 147/274, 4923/763 is

GCF of Numerators i.e. for 147,4923 is 3

LCM of denominators i.e. for 274,763 is 209062.

Thus, GCF of Fractions is 3/209062.Finally, GCF of Fractions for 147/274, 4923/763 is 3/209062.