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GCF of 645/693, 280/179

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 645/693, 280/179 i.e 5/124047 easily. The following is the detailed procedure to determine the greatest common factor of fractions 645/693, 280/179.

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 645/693,280/179?

Given fractions are 645/693,280/179

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 645/693,280/179, numerators are 645,280

Denominators are 693,179

The GCF of 645,280 is 5 .

LCM of 693,179 is 124047.

The greatest common factor of 645/693,280/179 = [GCF of 645,280]/[LCM of 693,179]= 5/124047

Therefore, the GCF of 645/693,280/179 is 5/124047.

Greatest Common Factor of 645,280

To find the highest common factor of 645,280, we have to find the factors of both numbers and list the highest common factor.

The factors of 645 are 1, 3, 5, 15, 43, 129, 215, 645

The factors of 280 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

The HCF of 645,280 is 5.

Lets's calculate GCF of 645,280

Greatest Common Factor (GCF) of 645,280 By Common Division

5 645, 280
129, 56

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 645,280 By Matching Biggest Common Factor Method

Greatest Common Factor of 645,280 By Matching Biggest Common Factor Method

Now, list down the factors of 645

:

1,3,5,15,43,129,215,645

Now, list down the factors of 280

:

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Greatest Common Factor

We found the factors 645,280 . The biggest common factor number is the GCF number.
So the greatest common factor 645,280 is 5.

Lets's calculate LCM of 693,179

Lowest Common Multiple of 693,179 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 124047

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/124047

Therefore, the GCF of Fractions 645/693,280/179 is 5/124047

Least Common Multiple of 693,179 with GCF Formula

Least Common Multiple of 693,179 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 693,179 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(693,179) = 1

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

GCF(693,179) x common factors =1 x 1 = 1

LCM(693,179) = ( 693 × 179 ) / 1

LCM(693,179) = 124047 / 1

LCM(693,179) = 124047


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FAQs on GCF of Fractions of 645/693, 280/179

1. What is the HCF of 645,280?

The HCF of 645,280 is 5

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 645/693, 280/179?

Answer: GCF of Numerators as per given numbers 645/693, 280/179 is

GCF of Numerators i.e. for 645,280 is 5

LCM of denominators i.e. for 693,179 is 124047.

Thus, GCF of Fractions is 5/124047.Finally, GCF of Fractions for 645/693, 280/179 is 5/124047.