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GCF of 753/99, 885/754

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 753/99, 885/754 i.e 3/74646 easily. The following is the detailed procedure to determine the greatest common factor of fractions 753/99, 885/754.

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 753/99,885/754?

Given fractions are 753/99,885/754

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 753/99,885/754, numerators are 753,885

Denominators are 99,754

The GCF of 753,885 is 3 .

LCM of 99,754 is 74646.

The greatest common factor of 753/99,885/754 = [GCF of 753,885]/[LCM of 99,754]= 3/74646

Therefore, the GCF of 753/99,885/754 is 3/74646.

Greatest Common Factor of 753,885

To find the highest common factor of 753,885, we have to find the factors of both numbers and list the highest common factor.

The factors of 753 are 1, 3, 251, 753

The factors of 885 are 1, 3, 5, 15, 59, 177, 295, 885

The HCF of 753,885 is 3.

Lets's calculate GCF of 753,885

Greatest Common Factor (GCF) of 753,885 By Common Division

3 753, 885
251, 295

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 753,885 By Matching Biggest Common Factor Method

Greatest Common Factor of 753,885 By Matching Biggest Common Factor Method

Now, list down the factors of 753

:

1,3,251,753

Now, list down the factors of 885

:

1,3,5,15,59,177,295,885

Greatest Common Factor

We found the factors 753,885 . The biggest common factor number is the GCF number.
So the greatest common factor 753,885 is 3.

Lets's calculate LCM of 99,754

Lowest Common Multiple of 99,754 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 74646

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/74646

Therefore, the GCF of Fractions 753/99,885/754 is 3/74646

Least Common Multiple of 99,754 with GCF Formula

Least Common Multiple of 99,754 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 99,754 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,754) = 1

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

GCF(99,754) x common factors =1 x 1 = 1

LCM(99,754) = ( 99 × 754 ) / 1

LCM(99,754) = 74646 / 1

LCM(99,754) = 74646


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FAQs on GCF of Fractions of 753/99, 885/754

1. What is the HCF of 753,885?

The HCF of 753,885 is 3

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 753/99, 885/754?

Answer: GCF of Numerators as per given numbers 753/99, 885/754 is

GCF of Numerators i.e. for 753,885 is 3

LCM of denominators i.e. for 99,754 is 74646.

Thus, GCF of Fractions is 3/74646.Finally, GCF of Fractions for 753/99, 885/754 is 3/74646.