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GCF of 5049/373, 8651/4884

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 5049/373, 8651/4884 i.e 1/1821732 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5049/373, 8651/4884.

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 5049/373,8651/4884?

Given fractions are 5049/373,8651/4884

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 5049/373,8651/4884, numerators are 5049,8651

Denominators are 373,4884

The GCF of 5049,8651 is 1 .

LCM of 373,4884 is 1821732.

The greatest common factor of 5049/373,8651/4884 = [GCF of 5049,8651]/[LCM of 373,4884]= 1/1821732

Therefore, the GCF of 5049/373,8651/4884 is 1/1821732.

Greatest Common Factor of 5049,8651

To find the highest common factor of 5049,8651, we have to find the factors of both numbers and list the highest common factor.

The factors of 5049 are 1, 3, 9, 11, 17, 27, 33, 51, 99, 153, 187, 297, 459, 561, 1683, 5049

The factors of 8651 are 1, 41, 211, 8651

The HCF of 5049,8651 is 1.

Lets's calculate GCF of 5049,8651

Greatest Common Factor (GCF) of 5049,8651 By Common Division

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

Greatest Common Factor of 5049,8651 By Matching Biggest Common Factor Method

Greatest Common Factor of 5049,8651 By Matching Biggest Common Factor Method

Now, list down the factors of 5049

:

1,3,9,11,17,27,33,51,99,153,187,297,459,561,1683,5049

Now, list down the factors of 8651

:

1,41,211,8651

Greatest Common Factor

We found the factors 5049,8651 . The biggest common factor number is the GCF number.
So the greatest common factor 5049,8651 is 1.


Lets's calculate LCM of 373,4884

Lowest Common Multiple of 373,4884 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1821732

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1821732

Therefore, the GCF of Fractions 5049/373,8651/4884 is 1/1821732

Least Common Multiple of 373,4884 with GCF Formula

Least Common Multiple of 373,4884 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 373,4884 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(373,4884) = 1

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

GCF(373,4884) x common factors =1 x 1 = 1

LCM(373,4884) = ( 373 × 4884 ) / 1

LCM(373,4884) = 1821732 / 1

LCM(373,4884) = 1821732


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 5049/373, 8651/4884

1. What is the HCF of 5049,8651?

The HCF of 5049,8651 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 5049/373, 8651/4884?

Answer: GCF of Numerators as per given numbers 5049/373, 8651/4884 is

GCF of Numerators i.e. for 5049,8651 is 1

LCM of denominators i.e. for 373,4884 is 1821732.

Thus, GCF of Fractions is 1/1821732.Finally, GCF of Fractions for 5049/373, 8651/4884 is 1/1821732.