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GCF of 760/950, 3304/181

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 760/950, 3304/181 i.e 8/171950 easily. The following is the detailed procedure to determine the greatest common factor of fractions 760/950, 3304/181.

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 760/950,3304/181?

Given fractions are 760/950,3304/181

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 760/950,3304/181, numerators are 760,3304

Denominators are 950,181

The GCF of 760,3304 is 8 .

LCM of 950,181 is 171950.

The greatest common factor of 760/950,3304/181 = [GCF of 760,3304]/[LCM of 950,181]= 8/171950

Therefore, the GCF of 760/950,3304/181 is 8/171950.

Greatest Common Factor of 760,3304

To find the highest common factor of 760,3304, we have to find the factors of both numbers and list the highest common factor.

The factors of 760 are 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

The factors of 3304 are 1, 2, 4, 7, 8, 14, 28, 56, 59, 118, 236, 413, 472, 826, 1652, 3304

The HCF of 760,3304 is 8.

Lets's calculate GCF of 760,3304

Greatest Common Factor (GCF) of 760,3304 By Common Division

2 760, 3304
2 380, 1652
2 190, 826
95, 413

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 760,3304 By Matching Biggest Common Factor Method

Greatest Common Factor of 760,3304 By Matching Biggest Common Factor Method

Now, list down the factors of 760

:

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Now, list down the factors of 3304

:

1,2,4,7,8,14,28,56,59,118,236,413,472,826,1652,3304

Greatest Common Factor

We found the factors 760,3304 . The biggest common factor number is the GCF number.
So the greatest common factor 760,3304 is 8.


Lets's calculate LCM of 950,181

Lowest Common Multiple of 950,181 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 171950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/171950

Therefore, the GCF of Fractions 760/950,3304/181 is 8/171950

Least Common Multiple of 950,181 with GCF Formula

Least Common Multiple of 950,181 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 950,181 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(950,181) = 1

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

GCF(950,181) x common factors =1 x 1 = 1

LCM(950,181) = ( 950 × 181 ) / 1

LCM(950,181) = 171950 / 1

LCM(950,181) = 171950


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 760/950, 3304/181

1. What is the HCF of 760,3304?

The HCF of 760,3304 is 8

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 760/950, 3304/181?

Answer: GCF of Numerators as per given numbers 760/950, 3304/181 is

GCF of Numerators i.e. for 760,3304 is 8

LCM of denominators i.e. for 950,181 is 171950.

Thus, GCF of Fractions is 8/171950.Finally, GCF of Fractions for 760/950, 3304/181 is 8/171950.