How to Find GCF of 2669/653, 7510/3150?

GCF of 2669/653, 7510/3150

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 2669/653, 7510/3150 i.e 1/2056950 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2669/653, 7510/3150.

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 2669/653,7510/3150?

Given fractions are 2669/653,7510/3150

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 2669/653,7510/3150, numerators are 2669,7510

Denominators are 653,3150

The GCF of 2669,7510 is 1 .

LCM of 653,3150 is 2056950.

The greatest common factor of 2669/653,7510/3150 = [GCF of 2669,7510]/[LCM of 653,3150]= 1/2056950

Therefore, the GCF of 2669/653,7510/3150 is 1/2056950.

Greatest Common Factor of 2669,7510

To find the highest common factor of 2669,7510, we have to find the factors of both numbers and list the highest common factor.

The factors of 2669 are 1, 17, 157, 2669

The factors of 7510 are 1, 2, 5, 10, 751, 1502, 3755, 7510

The HCF of 2669,7510 is 1.

Lets's calculate GCF of 2669,7510

Greatest Common Factor (GCF) of 2669,7510 By Common Division

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

Greatest Common Factor of 2669,7510 By Matching Biggest Common Factor Method

Now, list down the factors of 2669

1,17,157,2669

Now, list down the factors of 7510

1,2,5,10,751,1502,3755,7510

Greatest Common Factor

We found the factors 2669,7510 . The biggest common factor number is the GCF number.
So the greatest common factor 2669,7510 is 1.

Lets's calculate LCM of 653,3150

Lowest Common Multiple of 653,3150 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2056950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2056950

Therefore, the GCF of Fractions 2669/653,7510/3150 is 1/2056950

Least Common Multiple of 653,3150 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 653,3150 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(653,3150) = 1

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

GCF(653,3150) x common factors =1 x 1 = 1

LCM(653,3150) = ( 653 × 3150 ) / 1

LCM(653,3150) = 2056950 / 1

LCM(653,3150) = 2056950

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FAQs on GCF of Fractions of 2669/653, 7510/3150

1. What is the HCF of 2669,7510?

The HCF of 2669,7510 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 2669/653, 7510/3150?

Answer: GCF of Numerators as per given numbers 2669/653, 7510/3150 is

GCF of Numerators i.e. for 2669,7510 is 1

LCM of denominators i.e. for 653,3150 is 2056950.

Thus, GCF of Fractions is 1/2056950.Finally, GCF of Fractions for 2669/653, 7510/3150 is 1/2056950.