How to Find GCF of 7129/431, 6594/630?

GCF of 7129/431, 6594/630

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 7129/431, 6594/630 i.e 1/271530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7129/431, 6594/630.

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 7129/431,6594/630?

Given fractions are 7129/431,6594/630

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 7129/431,6594/630, numerators are 7129,6594

Denominators are 431,630

The GCF of 7129,6594 is 1 .

LCM of 431,630 is 271530.

The greatest common factor of 7129/431,6594/630 = [GCF of 7129,6594]/[LCM of 431,630]= 1/271530

Therefore, the GCF of 7129/431,6594/630 is 1/271530.

Greatest Common Factor of 7129,6594

To find the highest common factor of 7129,6594, we have to find the factors of both numbers and list the highest common factor.

The factors of 7129 are 1, 7129

The factors of 6594 are 1, 2, 3, 6, 7, 14, 21, 42, 157, 314, 471, 942, 1099, 2198, 3297, 6594

The HCF of 7129,6594 is 1.

Lets's calculate GCF of 7129,6594

Greatest Common Factor (GCF) of 7129,6594 By Common Division

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

Greatest Common Factor of 7129,6594 By Matching Biggest Common Factor Method

Now, list down the factors of 7129

1,7129

Now, list down the factors of 6594

1,2,3,6,7,14,21,42,157,314,471,942,1099,2198,3297,6594

Greatest Common Factor

We found the factors 7129,6594 . The biggest common factor number is the GCF number.
So the greatest common factor 7129,6594 is 1.

Lets's calculate LCM of 431,630

Lowest Common Multiple of 431,630 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 271530

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/271530

Therefore, the GCF of Fractions 7129/431,6594/630 is 1/271530

Least Common Multiple of 431,630 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 431,630 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(431,630) = 1

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

GCF(431,630) x common factors =1 x 1 = 1

LCM(431,630) = ( 431 × 630 ) / 1

LCM(431,630) = 271530 / 1

LCM(431,630) = 271530

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FAQs on GCF of Fractions of 7129/431, 6594/630

1. What is the HCF of 7129,6594?

The HCF of 7129,6594 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 7129/431, 6594/630?

Answer: GCF of Numerators as per given numbers 7129/431, 6594/630 is

GCF of Numerators i.e. for 7129,6594 is 1

LCM of denominators i.e. for 431,630 is 271530.

Thus, GCF of Fractions is 1/271530.Finally, GCF of Fractions for 7129/431, 6594/630 is 1/271530.