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GCF of 20/252, 7767/7236

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 20/252, 7767/7236 i.e 1/50652 easily. The following is the detailed procedure to determine the greatest common factor of fractions 20/252, 7767/7236.

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 20/252,7767/7236?

Given fractions are 20/252,7767/7236

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 20/252,7767/7236, numerators are 20,7767

Denominators are 252,7236

The GCF of 20,7767 is 1 .

LCM of 252,7236 is 50652.

The greatest common factor of 20/252,7767/7236 = [GCF of 20,7767]/[LCM of 252,7236]= 1/50652

Therefore, the GCF of 20/252,7767/7236 is 1/50652.

Greatest Common Factor of 20,7767

To find the highest common factor of 20,7767, we have to find the factors of both numbers and list the highest common factor.

The factors of 20 are 1, 2, 4, 5, 10, 20

The factors of 7767 are 1, 3, 9, 863, 2589, 7767

The HCF of 20,7767 is 1.

Lets's calculate GCF of 20,7767

Greatest Common Factor (GCF) of 20,7767 By Common Division

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

Greatest Common Factor of 20,7767 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,7767 By Matching Biggest Common Factor Method

Now, list down the factors of 20

:

1,2,4,5,10,20

Now, list down the factors of 7767

:

1,3,9,863,2589,7767

Greatest Common Factor

We found the factors 20,7767 . The biggest common factor number is the GCF number.
So the greatest common factor 20,7767 is 1.

Lets's calculate LCM of 252,7236

Lowest Common Multiple of 252,7236 using Common Division

2 252, 7236
2 126, 3618
3 63, 1809
3 21, 603
7, 201

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 7 x 201 = 50652

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/50652

Therefore, the GCF of Fractions 20/252,7767/7236 is 1/50652

Least Common Multiple of 252,7236 with GCF Formula

Least Common Multiple of 252,7236 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 252,7236 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(252,7236) = 36

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

GCF(252,7236) x common factors =36 x 1 = 36

LCM(252,7236) = ( 252 × 7236 ) / 36

LCM(252,7236) = 1823472 / 36

LCM(252,7236) = 50652


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FAQs on GCF of Fractions of 20/252, 7767/7236

1. What is the HCF of 20,7767?

The HCF of 20,7767 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 20/252, 7767/7236?

Answer: GCF of Numerators as per given numbers 20/252, 7767/7236 is

GCF of Numerators i.e. for 20,7767 is 1

LCM of denominators i.e. for 252,7236 is 50652.

Thus, GCF of Fractions is 1/50652.Finally, GCF of Fractions for 20/252, 7767/7236 is 1/50652.