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GCF of 347/589, 774/220

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 347/589, 774/220 i.e 1/129580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 347/589, 774/220.

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 347/589,774/220?

Given fractions are 347/589,774/220

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 347/589,774/220, numerators are 347,774

Denominators are 589,220

The GCF of 347,774 is 1 .

LCM of 589,220 is 129580.

The greatest common factor of 347/589,774/220 = [GCF of 347,774]/[LCM of 589,220]= 1/129580

Therefore, the GCF of 347/589,774/220 is 1/129580.

Greatest Common Factor of 347,774

To find the highest common factor of 347,774, we have to find the factors of both numbers and list the highest common factor.

The factors of 347 are 1, 347

The factors of 774 are 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

The HCF of 347,774 is 1.

Lets's calculate GCF of 347,774

Greatest Common Factor (GCF) of 347,774 By Common Division

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

Greatest Common Factor of 347,774 By Matching Biggest Common Factor Method

Greatest Common Factor of 347,774 By Matching Biggest Common Factor Method

Now, list down the factors of 347

:

1,347

Now, list down the factors of 774

:

1,2,3,6,9,18,43,86,129,258,387,774

Greatest Common Factor

We found the factors 347,774 . The biggest common factor number is the GCF number.
So the greatest common factor 347,774 is 1.

Lets's calculate LCM of 589,220

Lowest Common Multiple of 589,220 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 129580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/129580

Therefore, the GCF of Fractions 347/589,774/220 is 1/129580

Least Common Multiple of 589,220 with GCF Formula

Least Common Multiple of 589,220 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 589,220 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(589,220) = 1

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

GCF(589,220) x common factors =1 x 1 = 1

LCM(589,220) = ( 589 × 220 ) / 1

LCM(589,220) = 129580 / 1

LCM(589,220) = 129580


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FAQs on GCF of Fractions of 347/589, 774/220

1. What is the HCF of 347,774?

The HCF of 347,774 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 347/589, 774/220?

Answer: GCF of Numerators as per given numbers 347/589, 774/220 is

GCF of Numerators i.e. for 347,774 is 1

LCM of denominators i.e. for 589,220 is 129580.

Thus, GCF of Fractions is 1/129580.Finally, GCF of Fractions for 347/589, 774/220 is 1/129580.