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GCF of 349/560, 7895/6194

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 349/560, 7895/6194 i.e 1/1734320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 349/560, 7895/6194.

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 349/560,7895/6194?

Given fractions are 349/560,7895/6194

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 349/560,7895/6194, numerators are 349,7895

Denominators are 560,6194

The GCF of 349,7895 is 1 .

LCM of 560,6194 is 1734320.

The greatest common factor of 349/560,7895/6194 = [GCF of 349,7895]/[LCM of 560,6194]= 1/1734320

Therefore, the GCF of 349/560,7895/6194 is 1/1734320.

Greatest Common Factor of 349,7895

To find the highest common factor of 349,7895, we have to find the factors of both numbers and list the highest common factor.

The factors of 349 are 1, 349

The factors of 7895 are 1, 5, 1579, 7895

The HCF of 349,7895 is 1.

Lets's calculate GCF of 349,7895

Greatest Common Factor (GCF) of 349,7895 By Common Division

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

Greatest Common Factor of 349,7895 By Matching Biggest Common Factor Method

Greatest Common Factor of 349,7895 By Matching Biggest Common Factor Method

Now, list down the factors of 349

:

1,349

Now, list down the factors of 7895

:

1,5,1579,7895

Greatest Common Factor

We found the factors 349,7895 . The biggest common factor number is the GCF number.
So the greatest common factor 349,7895 is 1.

Lets's calculate LCM of 560,6194

Lowest Common Multiple of 560,6194 using Common Division

2 560, 6194
280, 3097

∴ So the LCM of the given numbers is 2 x 280 x 3097 = 1734320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1734320

Therefore, the GCF of Fractions 349/560,7895/6194 is 1/1734320

Least Common Multiple of 560,6194 with GCF Formula

Least Common Multiple of 560,6194 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 560,6194 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(560,6194) = 2

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

GCF(560,6194) x common factors =2 x 1 = 2

LCM(560,6194) = ( 560 × 6194 ) / 2

LCM(560,6194) = 3468640 / 2

LCM(560,6194) = 1734320


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FAQs on GCF of Fractions of 349/560, 7895/6194

1. What is the HCF of 349,7895?

The HCF of 349,7895 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 349/560, 7895/6194?

Answer: GCF of Numerators as per given numbers 349/560, 7895/6194 is

GCF of Numerators i.e. for 349,7895 is 1

LCM of denominators i.e. for 560,6194 is 1734320.

Thus, GCF of Fractions is 1/1734320.Finally, GCF of Fractions for 349/560, 7895/6194 is 1/1734320.