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GCF of 783/601, 7653/7871

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 783/601, 7653/7871 i.e 3/4730471 easily. The following is the detailed procedure to determine the greatest common factor of fractions 783/601, 7653/7871.

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 783/601,7653/7871?

Given fractions are 783/601,7653/7871

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 783/601,7653/7871, numerators are 783,7653

Denominators are 601,7871

The GCF of 783,7653 is 3 .

LCM of 601,7871 is 4730471.

The greatest common factor of 783/601,7653/7871 = [GCF of 783,7653]/[LCM of 601,7871]= 3/4730471

Therefore, the GCF of 783/601,7653/7871 is 3/4730471.

Greatest Common Factor of 783,7653

To find the highest common factor of 783,7653, we have to find the factors of both numbers and list the highest common factor.

The factors of 783 are 1, 3, 9, 27, 29, 87, 261, 783

The factors of 7653 are 1, 3, 2551, 7653

The HCF of 783,7653 is 3.

Lets's calculate GCF of 783,7653

Greatest Common Factor (GCF) of 783,7653 By Common Division

3 783, 7653
261, 2551

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

Greatest Common Factor of 783,7653 By Matching Biggest Common Factor Method

Greatest Common Factor of 783,7653 By Matching Biggest Common Factor Method

Now, list down the factors of 783

:

1,3,9,27,29,87,261,783

Now, list down the factors of 7653

:

1,3,2551,7653

Greatest Common Factor

We found the factors 783,7653 . The biggest common factor number is the GCF number.
So the greatest common factor 783,7653 is 3.

Lets's calculate LCM of 601,7871

Lowest Common Multiple of 601,7871 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4730471

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4730471

Therefore, the GCF of Fractions 783/601,7653/7871 is 3/4730471

Least Common Multiple of 601,7871 with GCF Formula

Least Common Multiple of 601,7871 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 601,7871 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(601,7871) = 1

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

GCF(601,7871) x common factors =1 x 1 = 1

LCM(601,7871) = ( 601 × 7871 ) / 1

LCM(601,7871) = 4730471 / 1

LCM(601,7871) = 4730471


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FAQs on GCF of Fractions of 783/601, 7653/7871

1. What is the HCF of 783,7653?

The HCF of 783,7653 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 783/601, 7653/7871?

Answer: GCF of Numerators as per given numbers 783/601, 7653/7871 is

GCF of Numerators i.e. for 783,7653 is 3

LCM of denominators i.e. for 601,7871 is 4730471.

Thus, GCF of Fractions is 3/4730471.Finally, GCF of Fractions for 783/601, 7653/7871 is 3/4730471.