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GCF of 8356/280, 4919/643

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 8356/280, 4919/643 i.e 1/180040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8356/280, 4919/643.

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 8356/280,4919/643?

Given fractions are 8356/280,4919/643

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 8356/280,4919/643, numerators are 8356,4919

Denominators are 280,643

The GCF of 8356,4919 is 1 .

LCM of 280,643 is 180040.

The greatest common factor of 8356/280,4919/643 = [GCF of 8356,4919]/[LCM of 280,643]= 1/180040

Therefore, the GCF of 8356/280,4919/643 is 1/180040.

Greatest Common Factor of 8356,4919

To find the highest common factor of 8356,4919, we have to find the factors of both numbers and list the highest common factor.

The factors of 8356 are 1, 2, 4, 2089, 4178, 8356

The factors of 4919 are 1, 4919

The HCF of 8356,4919 is 1.

Lets's calculate GCF of 8356,4919

Greatest Common Factor (GCF) of 8356,4919 By Common Division

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

Greatest Common Factor of 8356,4919 By Matching Biggest Common Factor Method

Greatest Common Factor of 8356,4919 By Matching Biggest Common Factor Method

Now, list down the factors of 8356

:

1,2,4,2089,4178,8356

Now, list down the factors of 4919

:

1,4919

Greatest Common Factor

We found the factors 8356,4919 . The biggest common factor number is the GCF number.
So the greatest common factor 8356,4919 is 1.

Lets's calculate LCM of 280,643

Lowest Common Multiple of 280,643 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 180040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/180040

Therefore, the GCF of Fractions 8356/280,4919/643 is 1/180040

Least Common Multiple of 280,643 with GCF Formula

Least Common Multiple of 280,643 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 280,643 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(280,643) = 1

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

GCF(280,643) x common factors =1 x 1 = 1

LCM(280,643) = ( 280 × 643 ) / 1

LCM(280,643) = 180040 / 1

LCM(280,643) = 180040


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FAQs on GCF of Fractions of 8356/280, 4919/643

1. What is the HCF of 8356,4919?

The HCF of 8356,4919 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 8356/280, 4919/643?

Answer: GCF of Numerators as per given numbers 8356/280, 4919/643 is

GCF of Numerators i.e. for 8356,4919 is 1

LCM of denominators i.e. for 280,643 is 180040.

Thus, GCF of Fractions is 1/180040.Finally, GCF of Fractions for 8356/280, 4919/643 is 1/180040.