How to Find GCF of 4524/913, 1301/4688?

GCF of 4524/913, 1301/4688

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 4524/913, 1301/4688 i.e 1/4280144 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4524/913, 1301/4688.

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 4524/913,1301/4688?

Given fractions are 4524/913,1301/4688

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 4524/913,1301/4688, numerators are 4524,1301

Denominators are 913,4688

The GCF of 4524,1301 is 1 .

LCM of 913,4688 is 4280144.

The greatest common factor of 4524/913,1301/4688 = [GCF of 4524,1301]/[LCM of 913,4688]= 1/4280144

Therefore, the GCF of 4524/913,1301/4688 is 1/4280144.

Greatest Common Factor of 4524,1301

To find the highest common factor of 4524,1301, we have to find the factors of both numbers and list the highest common factor.

The factors of 4524 are 1, 2, 3, 4, 6, 12, 13, 26, 29, 39, 52, 58, 78, 87, 116, 156, 174, 348, 377, 754, 1131, 1508, 2262, 4524

The factors of 1301 are 1, 1301

The HCF of 4524,1301 is 1.

Lets's calculate GCF of 4524,1301

Greatest Common Factor (GCF) of 4524,1301 By Common Division

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

Greatest Common Factor of 4524,1301 By Matching Biggest Common Factor Method

Now, list down the factors of 4524

1,2,3,4,6,12,13,26,29,39,52,58,78,87,116,156,174,348,377,754,1131,1508,2262,4524

Now, list down the factors of 1301

1,1301

Greatest Common Factor

We found the factors 4524,1301 . The biggest common factor number is the GCF number.
So the greatest common factor 4524,1301 is 1.

Lets's calculate LCM of 913,4688

Lowest Common Multiple of 913,4688 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4280144

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4280144

Therefore, the GCF of Fractions 4524/913,1301/4688 is 1/4280144

Least Common Multiple of 913,4688 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 913,4688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(913,4688) = 1

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

GCF(913,4688) x common factors =1 x 1 = 1

LCM(913,4688) = ( 913 × 4688 ) / 1

LCM(913,4688) = 4280144 / 1

LCM(913,4688) = 4280144

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4524/913, 1301/4688

1. What is the HCF of 4524,1301?

The HCF of 4524,1301 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 4524/913, 1301/4688?

Answer: GCF of Numerators as per given numbers 4524/913, 1301/4688 is

GCF of Numerators i.e. for 4524,1301 is 1

LCM of denominators i.e. for 913,4688 is 4280144.

Thus, GCF of Fractions is 1/4280144.Finally, GCF of Fractions for 4524/913, 1301/4688 is 1/4280144.