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GCF of 7537/911, 4134/4621

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 7537/911, 4134/4621 i.e 1/4209731 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7537/911, 4134/4621.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 7537/911,4134/4621?

Given fractions are 7537/911,4134/4621

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 7537/911,4134/4621, numerators are 7537,4134

Denominators are 911,4621

The GCF of 7537,4134 is 1 .

LCM of 911,4621 is 4209731.

The greatest common factor of 7537/911,4134/4621 = [GCF of 7537,4134]/[LCM of 911,4621]= 1/4209731

Therefore, the GCF of 7537/911,4134/4621 is 1/4209731.

Greatest Common Factor of 7537,4134

To find the highest common factor of 7537,4134, we have to find the factors of both numbers and list the highest common factor.

The factors of 7537 are 1, 7537

The factors of 4134 are 1, 2, 3, 6, 13, 26, 39, 53, 78, 106, 159, 318, 689, 1378, 2067, 4134

The HCF of 7537,4134 is 1.

Lets's calculate GCF of 7537,4134

Greatest Common Factor (GCF) of 7537,4134 By Common Division

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

Greatest Common Factor of 7537,4134 By Matching Biggest Common Factor Method

Greatest Common Factor of 7537,4134 By Matching Biggest Common Factor Method

Now, list down the factors of 7537

:

1,7537

Now, list down the factors of 4134

:

1,2,3,6,13,26,39,53,78,106,159,318,689,1378,2067,4134

Greatest Common Factor

We found the factors 7537,4134 . The biggest common factor number is the GCF number.
So the greatest common factor 7537,4134 is 1.


Lets's calculate LCM of 911,4621

Lowest Common Multiple of 911,4621 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4209731

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4209731

Therefore, the GCF of Fractions 7537/911,4134/4621 is 1/4209731

Least Common Multiple of 911,4621 with GCF Formula

Least Common Multiple of 911,4621 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 911,4621 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(911,4621) = 1

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

GCF(911,4621) x common factors =1 x 1 = 1

LCM(911,4621) = ( 911 × 4621 ) / 1

LCM(911,4621) = 4209731 / 1

LCM(911,4621) = 4209731


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 7537/911, 4134/4621

1. What is the HCF of 7537,4134?

The HCF of 7537,4134 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 7537/911, 4134/4621?

Answer: GCF of Numerators as per given numbers 7537/911, 4134/4621 is

GCF of Numerators i.e. for 7537,4134 is 1

LCM of denominators i.e. for 911,4621 is 4209731.

Thus, GCF of Fractions is 1/4209731.Finally, GCF of Fractions for 7537/911, 4134/4621 is 1/4209731.