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GCF of 3722/232, 4783/6579

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 3722/232, 4783/6579 i.e 1/1526328 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3722/232, 4783/6579.

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 3722/232,4783/6579?

Given fractions are 3722/232,4783/6579

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 3722/232,4783/6579, numerators are 3722,4783

Denominators are 232,6579

The GCF of 3722,4783 is 1 .

LCM of 232,6579 is 1526328.

The greatest common factor of 3722/232,4783/6579 = [GCF of 3722,4783]/[LCM of 232,6579]= 1/1526328

Therefore, the GCF of 3722/232,4783/6579 is 1/1526328.

Greatest Common Factor of 3722,4783

To find the highest common factor of 3722,4783, we have to find the factors of both numbers and list the highest common factor.

The factors of 3722 are 1, 2, 1861, 3722

The factors of 4783 are 1, 4783

The HCF of 3722,4783 is 1.

Lets's calculate GCF of 3722,4783

Greatest Common Factor (GCF) of 3722,4783 By Common Division

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

Greatest Common Factor of 3722,4783 By Matching Biggest Common Factor Method

Greatest Common Factor of 3722,4783 By Matching Biggest Common Factor Method

Now, list down the factors of 3722

:

1,2,1861,3722

Now, list down the factors of 4783

:

1,4783

Greatest Common Factor

We found the factors 3722,4783 . The biggest common factor number is the GCF number.
So the greatest common factor 3722,4783 is 1.

Lets's calculate LCM of 232,6579

Lowest Common Multiple of 232,6579 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1526328

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1526328

Therefore, the GCF of Fractions 3722/232,4783/6579 is 1/1526328

Least Common Multiple of 232,6579 with GCF Formula

Least Common Multiple of 232,6579 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 232,6579 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(232,6579) = 1

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

GCF(232,6579) x common factors =1 x 1 = 1

LCM(232,6579) = ( 232 × 6579 ) / 1

LCM(232,6579) = 1526328 / 1

LCM(232,6579) = 1526328


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FAQs on GCF of Fractions of 3722/232, 4783/6579

1. What is the HCF of 3722,4783?

The HCF of 3722,4783 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 3722/232, 4783/6579?

Answer: GCF of Numerators as per given numbers 3722/232, 4783/6579 is

GCF of Numerators i.e. for 3722,4783 is 1

LCM of denominators i.e. for 232,6579 is 1526328.

Thus, GCF of Fractions is 1/1526328.Finally, GCF of Fractions for 3722/232, 4783/6579 is 1/1526328.