How to Find GCF of 4675/501, 3560/152?

GCF of 4675/501, 3560/152

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 4675/501, 3560/152 i.e 5/76152 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4675/501, 3560/152.

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 4675/501,3560/152?

Given fractions are 4675/501,3560/152

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 4675/501,3560/152, numerators are 4675,3560

Denominators are 501,152

The GCF of 4675,3560 is 5 .

LCM of 501,152 is 76152.

The greatest common factor of 4675/501,3560/152 = [GCF of 4675,3560]/[LCM of 501,152]= 5/76152

Therefore, the GCF of 4675/501,3560/152 is 5/76152.

Greatest Common Factor of 4675,3560

To find the highest common factor of 4675,3560, 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 3560 are 1, 2, 4, 5, 8, 10, 20, 40, 89, 178, 356, 445, 712, 890, 1780, 3560

The HCF of 4675,3560 is 5.

Lets's calculate GCF of 4675,3560

Greatest Common Factor (GCF) of 4675,3560 By Common Division

5	4675, 3560
	935, 712

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 4675,3560 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 3560

1,2,4,5,8,10,20,40,89,178,356,445,712,890,1780,3560

Greatest Common Factor

We found the factors 4675,3560 . The biggest common factor number is the GCF number.
So the greatest common factor 4675,3560 is 5.

Lets's calculate LCM of 501,152

Lowest Common Multiple of 501,152 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 76152

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/76152

Therefore, the GCF of Fractions 4675/501,3560/152 is 5/76152

Least Common Multiple of 501,152 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 501,152 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(501,152) = 1

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

GCF(501,152) x common factors =1 x 1 = 1

LCM(501,152) = ( 501 × 152 ) / 1

LCM(501,152) = 76152 / 1

LCM(501,152) = 76152

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FAQs on GCF of Fractions of 4675/501, 3560/152

1. What is the HCF of 4675,3560?

The HCF of 4675,3560 is 5

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 4675/501, 3560/152?

Answer: GCF of Numerators as per given numbers 4675/501, 3560/152 is

GCF of Numerators i.e. for 4675,3560 is 5

LCM of denominators i.e. for 501,152 is 76152.

Thus, GCF of Fractions is 5/76152.Finally, GCF of Fractions for 4675/501, 3560/152 is 5/76152.