How to Find GCF of 4675/152, 7547/5995?

GCF of 4675/152, 7547/5995

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 4675/152, 7547/5995 i.e 1/911240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4675/152, 7547/5995.

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 4675/152,7547/5995?

Given fractions are 4675/152,7547/5995

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 4675/152,7547/5995, numerators are 4675,7547

Denominators are 152,5995

The GCF of 4675,7547 is 1 .

LCM of 152,5995 is 911240.

The greatest common factor of 4675/152,7547/5995 = [GCF of 4675,7547]/[LCM of 152,5995]= 1/911240

Therefore, the GCF of 4675/152,7547/5995 is 1/911240.

Greatest Common Factor of 4675,7547

To find the highest common factor of 4675,7547, we have to find the factors of both numbers and list the highest common factor.

The factors of 4675 are 1, 5, 11, 17, 25, 55, 85, 187, 275, 425, 935, 4675

The factors of 7547 are 1, 7547

The HCF of 4675,7547 is 1.

Lets's calculate GCF of 4675,7547

Greatest Common Factor (GCF) of 4675,7547 By Common Division

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

Greatest Common Factor of 4675,7547 By Matching Biggest Common Factor Method

Now, list down the factors of 4675

1,5,11,17,25,55,85,187,275,425,935,4675

Now, list down the factors of 7547

1,7547

Greatest Common Factor

We found the factors 4675,7547 . The biggest common factor number is the GCF number.
So the greatest common factor 4675,7547 is 1.

Lets's calculate LCM of 152,5995

Lowest Common Multiple of 152,5995 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 911240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/911240

Therefore, the GCF of Fractions 4675/152,7547/5995 is 1/911240

Least Common Multiple of 152,5995 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 152,5995 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(152,5995) = 1

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

GCF(152,5995) x common factors =1 x 1 = 1

LCM(152,5995) = ( 152 × 5995 ) / 1

LCM(152,5995) = 911240 / 1

LCM(152,5995) = 911240

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FAQs on GCF of Fractions of 4675/152, 7547/5995

1. What is the HCF of 4675,7547?

The HCF of 4675,7547 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 4675/152, 7547/5995?

Answer: GCF of Numerators as per given numbers 4675/152, 7547/5995 is

GCF of Numerators i.e. for 4675,7547 is 1

LCM of denominators i.e. for 152,5995 is 911240.

Thus, GCF of Fractions is 1/911240.Finally, GCF of Fractions for 4675/152, 7547/5995 is 1/911240.