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GCF of 161/51, 565/700

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 161/51, 565/700 i.e 1/35700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 161/51, 565/700.

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 161/51,565/700?

Given fractions are 161/51,565/700

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 161/51,565/700, numerators are 161,565

Denominators are 51,700

The GCF of 161,565 is 1 .

LCM of 51,700 is 35700.

The greatest common factor of 161/51,565/700 = [GCF of 161,565]/[LCM of 51,700]= 1/35700

Therefore, the GCF of 161/51,565/700 is 1/35700.

Greatest Common Factor of 161,565

To find the highest common factor of 161,565, we have to find the factors of both numbers and list the highest common factor.

The factors of 161 are 1, 7, 23, 161

The factors of 565 are 1, 5, 113, 565

The HCF of 161,565 is 1.

Lets's calculate GCF of 161,565

Greatest Common Factor (GCF) of 161,565 By Common Division

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

Greatest Common Factor of 161,565 By Matching Biggest Common Factor Method

Greatest Common Factor of 161,565 By Matching Biggest Common Factor Method

Now, list down the factors of 161

:

1,7,23,161

Now, list down the factors of 565

:

1,5,113,565

Greatest Common Factor

We found the factors 161,565 . The biggest common factor number is the GCF number.
So the greatest common factor 161,565 is 1.

Lets's calculate LCM of 51,700

Lowest Common Multiple of 51,700 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 35700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35700

Therefore, the GCF of Fractions 161/51,565/700 is 1/35700

Least Common Multiple of 51,700 with GCF Formula

Least Common Multiple of 51,700 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 51,700 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,700) = 1

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

GCF(51,700) x common factors =1 x 1 = 1

LCM(51,700) = ( 51 × 700 ) / 1

LCM(51,700) = 35700 / 1

LCM(51,700) = 35700


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FAQs on GCF of Fractions of 161/51, 565/700

1. What is the HCF of 161,565?

The HCF of 161,565 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 161/51, 565/700?

Answer: GCF of Numerators as per given numbers 161/51, 565/700 is

GCF of Numerators i.e. for 161,565 is 1

LCM of denominators i.e. for 51,700 is 35700.

Thus, GCF of Fractions is 1/35700.Finally, GCF of Fractions for 161/51, 565/700 is 1/35700.