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GCF of 4285/685, 3251/6164

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 4285/685, 3251/6164 i.e 1/4222340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4285/685, 3251/6164.

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 4285/685,3251/6164?

Given fractions are 4285/685,3251/6164

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 4285/685,3251/6164, numerators are 4285,3251

Denominators are 685,6164

The GCF of 4285,3251 is 1 .

LCM of 685,6164 is 4222340.

The greatest common factor of 4285/685,3251/6164 = [GCF of 4285,3251]/[LCM of 685,6164]= 1/4222340

Therefore, the GCF of 4285/685,3251/6164 is 1/4222340.

Greatest Common Factor of 4285,3251

To find the highest common factor of 4285,3251, we have to find the factors of both numbers and list the highest common factor.

The factors of 4285 are 1, 5, 857, 4285

The factors of 3251 are 1, 3251

The HCF of 4285,3251 is 1.

Lets's calculate GCF of 4285,3251

Greatest Common Factor (GCF) of 4285,3251 By Common Division

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

Greatest Common Factor of 4285,3251 By Matching Biggest Common Factor Method

Greatest Common Factor of 4285,3251 By Matching Biggest Common Factor Method

Now, list down the factors of 4285

:

1,5,857,4285

Now, list down the factors of 3251

:

1,3251

Greatest Common Factor

We found the factors 4285,3251 . The biggest common factor number is the GCF number.
So the greatest common factor 4285,3251 is 1.

Lets's calculate LCM of 685,6164

Lowest Common Multiple of 685,6164 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4222340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4222340

Therefore, the GCF of Fractions 4285/685,3251/6164 is 1/4222340

Least Common Multiple of 685,6164 with GCF Formula

Least Common Multiple of 685,6164 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 685,6164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(685,6164) = 1

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

GCF(685,6164) x common factors =1 x 1 = 1

LCM(685,6164) = ( 685 × 6164 ) / 1

LCM(685,6164) = 4222340 / 1

LCM(685,6164) = 4222340


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FAQs on GCF of Fractions of 4285/685, 3251/6164

1. What is the HCF of 4285,3251?

The HCF of 4285,3251 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 4285/685, 3251/6164?

Answer: GCF of Numerators as per given numbers 4285/685, 3251/6164 is

GCF of Numerators i.e. for 4285,3251 is 1

LCM of denominators i.e. for 685,6164 is 4222340.

Thus, GCF of Fractions is 1/4222340.Finally, GCF of Fractions for 4285/685, 3251/6164 is 1/4222340.