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GCF of 674/562, 6733/1217

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 674/562, 6733/1217 i.e 1/683954 easily. The following is the detailed procedure to determine the greatest common factor of fractions 674/562, 6733/1217.

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 674/562,6733/1217?

Given fractions are 674/562,6733/1217

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 674/562,6733/1217, numerators are 674,6733

Denominators are 562,1217

The GCF of 674,6733 is 1 .

LCM of 562,1217 is 683954.

The greatest common factor of 674/562,6733/1217 = [GCF of 674,6733]/[LCM of 562,1217]= 1/683954

Therefore, the GCF of 674/562,6733/1217 is 1/683954.

Greatest Common Factor of 674,6733

To find the highest common factor of 674,6733, 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 6733 are 1, 6733

The HCF of 674,6733 is 1.

Lets's calculate GCF of 674,6733

Greatest Common Factor (GCF) of 674,6733 By Common Division

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

Greatest Common Factor of 674,6733 By Matching Biggest Common Factor Method

Greatest Common Factor of 674,6733 By Matching Biggest Common Factor Method

Now, list down the factors of 674

:

1,2,337,674

Now, list down the factors of 6733

:

1,6733

Greatest Common Factor

We found the factors 674,6733 . The biggest common factor number is the GCF number.
So the greatest common factor 674,6733 is 1.

Lets's calculate LCM of 562,1217

Lowest Common Multiple of 562,1217 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 683954

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/683954

Therefore, the GCF of Fractions 674/562,6733/1217 is 1/683954

Least Common Multiple of 562,1217 with GCF Formula

Least Common Multiple of 562,1217 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 562,1217 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(562,1217) = 1

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

GCF(562,1217) x common factors =1 x 1 = 1

LCM(562,1217) = ( 562 × 1217 ) / 1

LCM(562,1217) = 683954 / 1

LCM(562,1217) = 683954


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FAQs on GCF of Fractions of 674/562, 6733/1217

1. What is the HCF of 674,6733?

The HCF of 674,6733 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 674/562, 6733/1217?

Answer: GCF of Numerators as per given numbers 674/562, 6733/1217 is

GCF of Numerators i.e. for 674,6733 is 1

LCM of denominators i.e. for 562,1217 is 683954.

Thus, GCF of Fractions is 1/683954.Finally, GCF of Fractions for 674/562, 6733/1217 is 1/683954.