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GCF of 674/934, 562/851

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 674/934, 562/851 i.e 2/794834 easily. The following is the detailed procedure to determine the greatest common factor of fractions 674/934, 562/851.

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 674/934,562/851?

Given fractions are 674/934,562/851

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 674/934,562/851, numerators are 674,562

Denominators are 934,851

The GCF of 674,562 is 2 .

LCM of 934,851 is 794834.

The greatest common factor of 674/934,562/851 = [GCF of 674,562]/[LCM of 934,851]= 2/794834

Therefore, the GCF of 674/934,562/851 is 2/794834.

Greatest Common Factor of 674,562

To find the highest common factor of 674,562, we have to find the factors of both numbers and list the highest common factor.

The factors of 674 are 1, 2, 337, 674

The factors of 562 are 1, 2, 281, 562

The HCF of 674,562 is 2.

Lets's calculate GCF of 674,562

Greatest Common Factor (GCF) of 674,562 By Common Division

2 674, 562
337, 281

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

Greatest Common Factor of 674,562 By Matching Biggest Common Factor Method

Greatest Common Factor of 674,562 By Matching Biggest Common Factor Method

Now, list down the factors of 674

:

1,2,337,674

Now, list down the factors of 562

:

1,2,281,562

Greatest Common Factor

We found the factors 674,562 . The biggest common factor number is the GCF number.
So the greatest common factor 674,562 is 2.

Lets's calculate LCM of 934,851

Lowest Common Multiple of 934,851 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 794834

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/794834

Therefore, the GCF of Fractions 674/934,562/851 is 2/794834

Least Common Multiple of 934,851 with GCF Formula

Least Common Multiple of 934,851 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 934,851 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(934,851) = 1

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

GCF(934,851) x common factors =1 x 1 = 1

LCM(934,851) = ( 934 × 851 ) / 1

LCM(934,851) = 794834 / 1

LCM(934,851) = 794834


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FAQs on GCF of Fractions of 674/934, 562/851

1. What is the HCF of 674,562?

The HCF of 674,562 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 674/934, 562/851?

Answer: GCF of Numerators as per given numbers 674/934, 562/851 is

GCF of Numerators i.e. for 674,562 is 2

LCM of denominators i.e. for 934,851 is 794834.

Thus, GCF of Fractions is 2/794834.Finally, GCF of Fractions for 674/934, 562/851 is 2/794834.