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GCF of 766/302, 208/615

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 766/302, 208/615 i.e 2/185730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 766/302, 208/615.

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 766/302,208/615?

Given fractions are 766/302,208/615

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 766/302,208/615, numerators are 766,208

Denominators are 302,615

The GCF of 766,208 is 2 .

LCM of 302,615 is 185730.

The greatest common factor of 766/302,208/615 = [GCF of 766,208]/[LCM of 302,615]= 2/185730

Therefore, the GCF of 766/302,208/615 is 2/185730.

Greatest Common Factor of 766,208

To find the highest common factor of 766,208, we have to find the factors of both numbers and list the highest common factor.

The factors of 766 are 1, 2, 383, 766

The factors of 208 are 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

The HCF of 766,208 is 2.

Lets's calculate GCF of 766,208

Greatest Common Factor (GCF) of 766,208 By Common Division

2 766, 208
383, 104

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

Greatest Common Factor of 766,208 By Matching Biggest Common Factor Method

Greatest Common Factor of 766,208 By Matching Biggest Common Factor Method

Now, list down the factors of 766

:

1,2,383,766

Now, list down the factors of 208

:

1,2,4,8,13,16,26,52,104,208

Greatest Common Factor

We found the factors 766,208 . The biggest common factor number is the GCF number.
So the greatest common factor 766,208 is 2.

Lets's calculate LCM of 302,615

Lowest Common Multiple of 302,615 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 185730

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/185730

Therefore, the GCF of Fractions 766/302,208/615 is 2/185730

Least Common Multiple of 302,615 with GCF Formula

Least Common Multiple of 302,615 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 302,615 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(302,615) = 1

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

GCF(302,615) x common factors =1 x 1 = 1

LCM(302,615) = ( 302 × 615 ) / 1

LCM(302,615) = 185730 / 1

LCM(302,615) = 185730


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FAQs on GCF of Fractions of 766/302, 208/615

1. What is the HCF of 766,208?

The HCF of 766,208 is 2

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 766/302, 208/615?

Answer: GCF of Numerators as per given numbers 766/302, 208/615 is

GCF of Numerators i.e. for 766,208 is 2

LCM of denominators i.e. for 302,615 is 185730.

Thus, GCF of Fractions is 2/185730.Finally, GCF of Fractions for 766/302, 208/615 is 2/185730.