How to Find GCF of 7659/228, 7906/5615?

GCF of 7659/228, 7906/5615

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 7659/228, 7906/5615 i.e 1/1280220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7659/228, 7906/5615.

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 7659/228,7906/5615?

Given fractions are 7659/228,7906/5615

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 7659/228,7906/5615, numerators are 7659,7906

Denominators are 228,5615

The GCF of 7659,7906 is 1 .

LCM of 228,5615 is 1280220.

The greatest common factor of 7659/228,7906/5615 = [GCF of 7659,7906]/[LCM of 228,5615]= 1/1280220

Therefore, the GCF of 7659/228,7906/5615 is 1/1280220.

Greatest Common Factor of 7659,7906

To find the highest common factor of 7659,7906, we have to find the factors of both numbers and list the highest common factor.

The factors of 7659 are 1, 3, 9, 23, 37, 69, 111, 207, 333, 851, 2553, 7659

The factors of 7906 are 1, 2, 59, 67, 118, 134, 3953, 7906

The HCF of 7659,7906 is 1.

Lets's calculate GCF of 7659,7906

Greatest Common Factor (GCF) of 7659,7906 By Common Division

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

Greatest Common Factor of 7659,7906 By Matching Biggest Common Factor Method

Now, list down the factors of 7659

1,3,9,23,37,69,111,207,333,851,2553,7659

Now, list down the factors of 7906

1,2,59,67,118,134,3953,7906

Greatest Common Factor

We found the factors 7659,7906 . The biggest common factor number is the GCF number.
So the greatest common factor 7659,7906 is 1.

Lets's calculate LCM of 228,5615

Lowest Common Multiple of 228,5615 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1280220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1280220

Therefore, the GCF of Fractions 7659/228,7906/5615 is 1/1280220

Least Common Multiple of 228,5615 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 228,5615 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(228,5615) = 1

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

GCF(228,5615) x common factors =1 x 1 = 1

LCM(228,5615) = ( 228 × 5615 ) / 1

LCM(228,5615) = 1280220 / 1

LCM(228,5615) = 1280220

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 7659/228, 7906/5615

1. What is the HCF of 7659,7906?

The HCF of 7659,7906 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 7659/228, 7906/5615?

Answer: GCF of Numerators as per given numbers 7659/228, 7906/5615 is

GCF of Numerators i.e. for 7659,7906 is 1

LCM of denominators i.e. for 228,5615 is 1280220.

Thus, GCF of Fractions is 1/1280220.Finally, GCF of Fractions for 7659/228, 7906/5615 is 1/1280220.