How to Find GCF of 7529/634, 1006/1219?

GCF of 7529/634, 1006/1219

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 7529/634, 1006/1219 i.e 1/772846 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7529/634, 1006/1219.

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 7529/634,1006/1219?

Given fractions are 7529/634,1006/1219

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 7529/634,1006/1219, numerators are 7529,1006

Denominators are 634,1219

The GCF of 7529,1006 is 1 .

LCM of 634,1219 is 772846.

The greatest common factor of 7529/634,1006/1219 = [GCF of 7529,1006]/[LCM of 634,1219]= 1/772846

Therefore, the GCF of 7529/634,1006/1219 is 1/772846.

Greatest Common Factor of 7529,1006

To find the highest common factor of 7529,1006, we have to find the factors of both numbers and list the highest common factor.

The factors of 7529 are 1, 7529

The factors of 1006 are 1, 2, 503, 1006

The HCF of 7529,1006 is 1.

Lets's calculate GCF of 7529,1006

Greatest Common Factor (GCF) of 7529,1006 By Common Division

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

Greatest Common Factor of 7529,1006 By Matching Biggest Common Factor Method

Now, list down the factors of 7529

1,7529

Now, list down the factors of 1006

1,2,503,1006

Greatest Common Factor

We found the factors 7529,1006 . The biggest common factor number is the GCF number.
So the greatest common factor 7529,1006 is 1.

Lets's calculate LCM of 634,1219

Lowest Common Multiple of 634,1219 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 772846

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/772846

Therefore, the GCF of Fractions 7529/634,1006/1219 is 1/772846

Least Common Multiple of 634,1219 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 634,1219 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(634,1219) = 1

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

GCF(634,1219) x common factors =1 x 1 = 1

LCM(634,1219) = ( 634 × 1219 ) / 1

LCM(634,1219) = 772846 / 1

LCM(634,1219) = 772846

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FAQs on GCF of Fractions of 7529/634, 1006/1219

1. What is the HCF of 7529,1006?

The HCF of 7529,1006 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 7529/634, 1006/1219?

Answer: GCF of Numerators as per given numbers 7529/634, 1006/1219 is

GCF of Numerators i.e. for 7529,1006 is 1

LCM of denominators i.e. for 634,1219 is 772846.

Thus, GCF of Fractions is 1/772846.Finally, GCF of Fractions for 7529/634, 1006/1219 is 1/772846.