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GCF of 646/70, 295/208

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 646/70, 295/208 i.e 1/7280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 646/70, 295/208.

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 646/70,295/208?

Given fractions are 646/70,295/208

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 646/70,295/208, numerators are 646,295

Denominators are 70,208

The GCF of 646,295 is 1 .

LCM of 70,208 is 7280.

The greatest common factor of 646/70,295/208 = [GCF of 646,295]/[LCM of 70,208]= 1/7280

Therefore, the GCF of 646/70,295/208 is 1/7280.

Greatest Common Factor of 646,295

To find the highest common factor of 646,295, we have to find the factors of both numbers and list the highest common factor.

The factors of 646 are 1, 2, 17, 19, 34, 38, 323, 646

The factors of 295 are 1, 5, 59, 295

The HCF of 646,295 is 1.

Lets's calculate GCF of 646,295

Greatest Common Factor (GCF) of 646,295 By Common Division

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

Greatest Common Factor of 646,295 By Matching Biggest Common Factor Method

Greatest Common Factor of 646,295 By Matching Biggest Common Factor Method

Now, list down the factors of 646

:

1,2,17,19,34,38,323,646

Now, list down the factors of 295

:

1,5,59,295

Greatest Common Factor

We found the factors 646,295 . The biggest common factor number is the GCF number.
So the greatest common factor 646,295 is 1.

Lets's calculate LCM of 70,208

Lowest Common Multiple of 70,208 using Common Division

2 70, 208
35, 104

∴ So the LCM of the given numbers is 2 x 35 x 104 = 7280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7280

Therefore, the GCF of Fractions 646/70,295/208 is 1/7280

Least Common Multiple of 70,208 with GCF Formula

Least Common Multiple of 70,208 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 70,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,208) = 2

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

GCF(70,208) x common factors =2 x 1 = 2

LCM(70,208) = ( 70 × 208 ) / 2

LCM(70,208) = 14560 / 2

LCM(70,208) = 7280


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FAQs on GCF of Fractions of 646/70, 295/208

1. What is the HCF of 646,295?

The HCF of 646,295 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 646/70, 295/208?

Answer: GCF of Numerators as per given numbers 646/70, 295/208 is

GCF of Numerators i.e. for 646,295 is 1

LCM of denominators i.e. for 70,208 is 7280.

Thus, GCF of Fractions is 1/7280.Finally, GCF of Fractions for 646/70, 295/208 is 1/7280.