How to Find GCF of 7528/950, 4147/4024?

GCF of 7528/950, 4147/4024

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 7528/950, 4147/4024 i.e 1/1911400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7528/950, 4147/4024.

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 7528/950,4147/4024?

Given fractions are 7528/950,4147/4024

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 7528/950,4147/4024, numerators are 7528,4147

Denominators are 950,4024

The GCF of 7528,4147 is 1 .

LCM of 950,4024 is 1911400.

The greatest common factor of 7528/950,4147/4024 = [GCF of 7528,4147]/[LCM of 950,4024]= 1/1911400

Therefore, the GCF of 7528/950,4147/4024 is 1/1911400.

Greatest Common Factor of 7528,4147

To find the highest common factor of 7528,4147, we have to find the factors of both numbers and list the highest common factor.

The factors of 7528 are 1, 2, 4, 8, 941, 1882, 3764, 7528

The factors of 4147 are 1, 11, 13, 29, 143, 319, 377, 4147

The HCF of 7528,4147 is 1.

Lets's calculate GCF of 7528,4147

Greatest Common Factor (GCF) of 7528,4147 By Common Division

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

Greatest Common Factor of 7528,4147 By Matching Biggest Common Factor Method

Now, list down the factors of 7528

1,2,4,8,941,1882,3764,7528

Now, list down the factors of 4147

1,11,13,29,143,319,377,4147

Greatest Common Factor

We found the factors 7528,4147 . The biggest common factor number is the GCF number.
So the greatest common factor 7528,4147 is 1.

Lets's calculate LCM of 950,4024

Lowest Common Multiple of 950,4024 using Common Division

2	950, 4024
	475, 2012

∴ So the LCM of the given numbers is 2 x 475 x 2012 = 1911400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1911400

Therefore, the GCF of Fractions 7528/950,4147/4024 is 1/1911400

Least Common Multiple of 950,4024 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 950,4024 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(950,4024) = 2

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

GCF(950,4024) x common factors =2 x 1 = 2

LCM(950,4024) = ( 950 × 4024 ) / 2

LCM(950,4024) = 3822800 / 2

LCM(950,4024) = 1911400

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FAQs on GCF of Fractions of 7528/950, 4147/4024

1. What is the HCF of 7528,4147?

The HCF of 7528,4147 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 7528/950, 4147/4024?

Answer: GCF of Numerators as per given numbers 7528/950, 4147/4024 is

GCF of Numerators i.e. for 7528,4147 is 1

LCM of denominators i.e. for 950,4024 is 1911400.

Thus, GCF of Fractions is 1/1911400.Finally, GCF of Fractions for 7528/950, 4147/4024 is 1/1911400.