How to Find GCF of 8627/265, 2274/4791?

GCF of 8627/265, 2274/4791

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 8627/265, 2274/4791 i.e 1/1269615 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8627/265, 2274/4791.

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 8627/265,2274/4791?

Given fractions are 8627/265,2274/4791

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 8627/265,2274/4791, numerators are 8627,2274

Denominators are 265,4791

The GCF of 8627,2274 is 1 .

LCM of 265,4791 is 1269615.

The greatest common factor of 8627/265,2274/4791 = [GCF of 8627,2274]/[LCM of 265,4791]= 1/1269615

Therefore, the GCF of 8627/265,2274/4791 is 1/1269615.

Greatest Common Factor of 8627,2274

To find the highest common factor of 8627,2274, we have to find the factors of both numbers and list the highest common factor.

The factors of 8627 are 1, 8627

The factors of 2274 are 1, 2, 3, 6, 379, 758, 1137, 2274

The HCF of 8627,2274 is 1.

Lets's calculate GCF of 8627,2274

Greatest Common Factor (GCF) of 8627,2274 By Common Division

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

Greatest Common Factor of 8627,2274 By Matching Biggest Common Factor Method

Now, list down the factors of 8627

1,8627

Now, list down the factors of 2274

1,2,3,6,379,758,1137,2274

Greatest Common Factor

We found the factors 8627,2274 . The biggest common factor number is the GCF number.
So the greatest common factor 8627,2274 is 1.

Lets's calculate LCM of 265,4791

Lowest Common Multiple of 265,4791 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1269615

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1269615

Therefore, the GCF of Fractions 8627/265,2274/4791 is 1/1269615

Least Common Multiple of 265,4791 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 265,4791 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(265,4791) = 1

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

GCF(265,4791) x common factors =1 x 1 = 1

LCM(265,4791) = ( 265 × 4791 ) / 1

LCM(265,4791) = 1269615 / 1

LCM(265,4791) = 1269615

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FAQs on GCF of Fractions of 8627/265, 2274/4791

1. What is the HCF of 8627,2274?

The HCF of 8627,2274 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 8627/265, 2274/4791?

Answer: GCF of Numerators as per given numbers 8627/265, 2274/4791 is

GCF of Numerators i.e. for 8627,2274 is 1

LCM of denominators i.e. for 265,4791 is 1269615.

Thus, GCF of Fractions is 1/1269615.Finally, GCF of Fractions for 8627/265, 2274/4791 is 1/1269615.