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GCF of 8077/266, 7507/4636

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 8077/266, 7507/4636 i.e 1/32452 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8077/266, 7507/4636.

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 8077/266,7507/4636?

Given fractions are 8077/266,7507/4636

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 8077/266,7507/4636, numerators are 8077,7507

Denominators are 266,4636

The GCF of 8077,7507 is 1 .

LCM of 266,4636 is 32452.

The greatest common factor of 8077/266,7507/4636 = [GCF of 8077,7507]/[LCM of 266,4636]= 1/32452

Therefore, the GCF of 8077/266,7507/4636 is 1/32452.

Greatest Common Factor of 8077,7507

To find the highest common factor of 8077,7507, we have to find the factors of both numbers and list the highest common factor.

The factors of 8077 are 1, 41, 197, 8077

The factors of 7507 are 1, 7507

The HCF of 8077,7507 is 1.

Lets's calculate GCF of 8077,7507

Greatest Common Factor (GCF) of 8077,7507 By Common Division

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

Greatest Common Factor of 8077,7507 By Matching Biggest Common Factor Method

Greatest Common Factor of 8077,7507 By Matching Biggest Common Factor Method

Now, list down the factors of 8077

:

1,41,197,8077

Now, list down the factors of 7507

:

1,7507

Greatest Common Factor

We found the factors 8077,7507 . The biggest common factor number is the GCF number.
So the greatest common factor 8077,7507 is 1.

Lets's calculate LCM of 266,4636

Lowest Common Multiple of 266,4636 using Common Division

2 266, 4636
19 133, 2318
7, 122

∴ So the LCM of the given numbers is 2 x 19 x 7 x 122 = 32452

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32452

Therefore, the GCF of Fractions 8077/266,7507/4636 is 1/32452

Least Common Multiple of 266,4636 with GCF Formula

Least Common Multiple of 266,4636 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 266,4636 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(266,4636) = 38

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

GCF(266,4636) x common factors =38 x 1 = 38

LCM(266,4636) = ( 266 × 4636 ) / 38

LCM(266,4636) = 1233176 / 38

LCM(266,4636) = 32452


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FAQs on GCF of Fractions of 8077/266, 7507/4636

1. What is the HCF of 8077,7507?

The HCF of 8077,7507 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 8077/266, 7507/4636?

Answer: GCF of Numerators as per given numbers 8077/266, 7507/4636 is

GCF of Numerators i.e. for 8077,7507 is 1

LCM of denominators i.e. for 266,4636 is 32452.

Thus, GCF of Fractions is 1/32452.Finally, GCF of Fractions for 8077/266, 7507/4636 is 1/32452.