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GCF of 734/22, 671/280

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 734/22, 671/280 i.e 1/3080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 734/22, 671/280.

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 734/22,671/280?

Given fractions are 734/22,671/280

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 734/22,671/280, numerators are 734,671

Denominators are 22,280

The GCF of 734,671 is 1 .

LCM of 22,280 is 3080.

The greatest common factor of 734/22,671/280 = [GCF of 734,671]/[LCM of 22,280]= 1/3080

Therefore, the GCF of 734/22,671/280 is 1/3080.

Greatest Common Factor of 734,671

To find the highest common factor of 734,671, we have to find the factors of both numbers and list the highest common factor.

The factors of 734 are 1, 2, 367, 734

The factors of 671 are 1, 11, 61, 671

The HCF of 734,671 is 1.

Lets's calculate GCF of 734,671

Greatest Common Factor (GCF) of 734,671 By Common Division

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

Greatest Common Factor of 734,671 By Matching Biggest Common Factor Method

Greatest Common Factor of 734,671 By Matching Biggest Common Factor Method

Now, list down the factors of 734

:

1,2,367,734

Now, list down the factors of 671

:

1,11,61,671

Greatest Common Factor

We found the factors 734,671 . The biggest common factor number is the GCF number.
So the greatest common factor 734,671 is 1.

Lets's calculate LCM of 22,280

Lowest Common Multiple of 22,280 using Common Division

2 22, 280
11, 140

∴ So the LCM of the given numbers is 2 x 11 x 140 = 3080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3080

Therefore, the GCF of Fractions 734/22,671/280 is 1/3080

Least Common Multiple of 22,280 with GCF Formula

Least Common Multiple of 22,280 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 22,280 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,280) = 2

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

GCF(22,280) x common factors =2 x 1 = 2

LCM(22,280) = ( 22 × 280 ) / 2

LCM(22,280) = 6160 / 2

LCM(22,280) = 3080


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FAQs on GCF of Fractions of 734/22, 671/280

1. What is the HCF of 734,671?

The HCF of 734,671 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 734/22, 671/280?

Answer: GCF of Numerators as per given numbers 734/22, 671/280 is

GCF of Numerators i.e. for 734,671 is 1

LCM of denominators i.e. for 22,280 is 3080.

Thus, GCF of Fractions is 1/3080.Finally, GCF of Fractions for 734/22, 671/280 is 1/3080.