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GCF of 6267/732, 4031/835

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 6267/732, 4031/835 i.e 1/611220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6267/732, 4031/835.

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 6267/732,4031/835?

Given fractions are 6267/732,4031/835

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 6267/732,4031/835, numerators are 6267,4031

Denominators are 732,835

The GCF of 6267,4031 is 1 .

LCM of 732,835 is 611220.

The greatest common factor of 6267/732,4031/835 = [GCF of 6267,4031]/[LCM of 732,835]= 1/611220

Therefore, the GCF of 6267/732,4031/835 is 1/611220.

Greatest Common Factor of 6267,4031

To find the highest common factor of 6267,4031, we have to find the factors of both numbers and list the highest common factor.

The factors of 6267 are 1, 3, 2089, 6267

The factors of 4031 are 1, 29, 139, 4031

The HCF of 6267,4031 is 1.

Lets's calculate GCF of 6267,4031

Greatest Common Factor (GCF) of 6267,4031 By Common Division

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

Greatest Common Factor of 6267,4031 By Matching Biggest Common Factor Method

Greatest Common Factor of 6267,4031 By Matching Biggest Common Factor Method

Now, list down the factors of 6267

:

1,3,2089,6267

Now, list down the factors of 4031

:

1,29,139,4031

Greatest Common Factor

We found the factors 6267,4031 . The biggest common factor number is the GCF number.
So the greatest common factor 6267,4031 is 1.

Lets's calculate LCM of 732,835

Lowest Common Multiple of 732,835 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 611220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/611220

Therefore, the GCF of Fractions 6267/732,4031/835 is 1/611220

Least Common Multiple of 732,835 with GCF Formula

Least Common Multiple of 732,835 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 732,835 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(732,835) = 1

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

GCF(732,835) x common factors =1 x 1 = 1

LCM(732,835) = ( 732 × 835 ) / 1

LCM(732,835) = 611220 / 1

LCM(732,835) = 611220


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FAQs on GCF of Fractions of 6267/732, 4031/835

1. What is the HCF of 6267,4031?

The HCF of 6267,4031 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 6267/732, 4031/835?

Answer: GCF of Numerators as per given numbers 6267/732, 4031/835 is

GCF of Numerators i.e. for 6267,4031 is 1

LCM of denominators i.e. for 732,835 is 611220.

Thus, GCF of Fractions is 1/611220.Finally, GCF of Fractions for 6267/732, 4031/835 is 1/611220.