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GCF of 949/746, 670/682

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 949/746, 670/682 i.e 1/254386 easily. The following is the detailed procedure to determine the greatest common factor of fractions 949/746, 670/682.

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 949/746,670/682?

Given fractions are 949/746,670/682

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 949/746,670/682, numerators are 949,670

Denominators are 746,682

The GCF of 949,670 is 1 .

LCM of 746,682 is 254386.

The greatest common factor of 949/746,670/682 = [GCF of 949,670]/[LCM of 746,682]= 1/254386

Therefore, the GCF of 949/746,670/682 is 1/254386.

Greatest Common Factor of 949,670

To find the highest common factor of 949,670, we have to find the factors of both numbers and list the highest common factor.

The factors of 949 are 1, 13, 73, 949

The factors of 670 are 1, 2, 5, 10, 67, 134, 335, 670

The HCF of 949,670 is 1.

Lets's calculate GCF of 949,670

Greatest Common Factor (GCF) of 949,670 By Common Division

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

Greatest Common Factor of 949,670 By Matching Biggest Common Factor Method

Greatest Common Factor of 949,670 By Matching Biggest Common Factor Method

Now, list down the factors of 949

:

1,13,73,949

Now, list down the factors of 670

:

1,2,5,10,67,134,335,670

Greatest Common Factor

We found the factors 949,670 . The biggest common factor number is the GCF number.
So the greatest common factor 949,670 is 1.

Lets's calculate LCM of 746,682

Lowest Common Multiple of 746,682 using Common Division

2 746, 682
373, 341

∴ So the LCM of the given numbers is 2 x 373 x 341 = 254386

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/254386

Therefore, the GCF of Fractions 949/746,670/682 is 1/254386

Least Common Multiple of 746,682 with GCF Formula

Least Common Multiple of 746,682 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 746,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(746,682) = 2

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

GCF(746,682) x common factors =2 x 1 = 2

LCM(746,682) = ( 746 × 682 ) / 2

LCM(746,682) = 508772 / 2

LCM(746,682) = 254386


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FAQs on GCF of Fractions of 949/746, 670/682

1. What is the HCF of 949,670?

The HCF of 949,670 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 949/746, 670/682?

Answer: GCF of Numerators as per given numbers 949/746, 670/682 is

GCF of Numerators i.e. for 949,670 is 1

LCM of denominators i.e. for 746,682 is 254386.

Thus, GCF of Fractions is 1/254386.Finally, GCF of Fractions for 949/746, 670/682 is 1/254386.