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GCF of 3902/330, 4117/1618

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 3902/330, 4117/1618 i.e 1/266970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3902/330, 4117/1618.

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 3902/330,4117/1618?

Given fractions are 3902/330,4117/1618

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 3902/330,4117/1618, numerators are 3902,4117

Denominators are 330,1618

The GCF of 3902,4117 is 1 .

LCM of 330,1618 is 266970.

The greatest common factor of 3902/330,4117/1618 = [GCF of 3902,4117]/[LCM of 330,1618]= 1/266970

Therefore, the GCF of 3902/330,4117/1618 is 1/266970.

Greatest Common Factor of 3902,4117

To find the highest common factor of 3902,4117, we have to find the factors of both numbers and list the highest common factor.

The factors of 3902 are 1, 2, 1951, 3902

The factors of 4117 are 1, 23, 179, 4117

The HCF of 3902,4117 is 1.

Lets's calculate GCF of 3902,4117

Greatest Common Factor (GCF) of 3902,4117 By Common Division

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

Greatest Common Factor of 3902,4117 By Matching Biggest Common Factor Method

Greatest Common Factor of 3902,4117 By Matching Biggest Common Factor Method

Now, list down the factors of 3902

:

1,2,1951,3902

Now, list down the factors of 4117

:

1,23,179,4117

Greatest Common Factor

We found the factors 3902,4117 . The biggest common factor number is the GCF number.
So the greatest common factor 3902,4117 is 1.

Lets's calculate LCM of 330,1618

Lowest Common Multiple of 330,1618 using Common Division

2 330, 1618
165, 809

∴ So the LCM of the given numbers is 2 x 165 x 809 = 266970

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/266970

Therefore, the GCF of Fractions 3902/330,4117/1618 is 1/266970

Least Common Multiple of 330,1618 with GCF Formula

Least Common Multiple of 330,1618 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 330,1618 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(330,1618) = 2

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

GCF(330,1618) x common factors =2 x 1 = 2

LCM(330,1618) = ( 330 × 1618 ) / 2

LCM(330,1618) = 533940 / 2

LCM(330,1618) = 266970


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FAQs on GCF of Fractions of 3902/330, 4117/1618

1. What is the HCF of 3902,4117?

The HCF of 3902,4117 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 3902/330, 4117/1618?

Answer: GCF of Numerators as per given numbers 3902/330, 4117/1618 is

GCF of Numerators i.e. for 3902,4117 is 1

LCM of denominators i.e. for 330,1618 is 266970.

Thus, GCF of Fractions is 1/266970.Finally, GCF of Fractions for 3902/330, 4117/1618 is 1/266970.