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GCF of 20/700, 250/102

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 20/700, 250/102 i.e 10/35700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 20/700, 250/102.

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 20/700,250/102?

Given fractions are 20/700,250/102

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 20/700,250/102, numerators are 20,250

Denominators are 700,102

The GCF of 20,250 is 10 .

LCM of 700,102 is 35700.

The greatest common factor of 20/700,250/102 = [GCF of 20,250]/[LCM of 700,102]= 10/35700

Therefore, the GCF of 20/700,250/102 is 10/35700.

Greatest Common Factor of 20,250

To find the highest common factor of 20,250, we have to find the factors of both numbers and list the highest common factor.

The factors of 20 are 1, 2, 4, 5, 10, 20

The factors of 250 are 1, 2, 5, 10, 25, 50, 125, 250

The HCF of 20,250 is 10.

Lets's calculate GCF of 20,250

Greatest Common Factor (GCF) of 20,250 By Common Division

2 20, 250
5 10, 125
2, 25

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 20,250 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,250 By Matching Biggest Common Factor Method

Now, list down the factors of 20

:

1,2,4,5,10,20

Now, list down the factors of 250

:

1,2,5,10,25,50,125,250

Greatest Common Factor

We found the factors 20,250 . The biggest common factor number is the GCF number.
So the greatest common factor 20,250 is 10.

Lets's calculate LCM of 700,102

Lowest Common Multiple of 700,102 using Common Division

2 700, 102
350, 51

∴ So the LCM of the given numbers is 2 x 350 x 51 = 35700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/35700

Therefore, the GCF of Fractions 20/700,250/102 is 10/35700

Least Common Multiple of 700,102 with GCF Formula

Least Common Multiple of 700,102 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 700,102 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(700,102) = 2

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

GCF(700,102) x common factors =2 x 1 = 2

LCM(700,102) = ( 700 × 102 ) / 2

LCM(700,102) = 71400 / 2

LCM(700,102) = 35700


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 20/700, 250/102

1. What is the HCF of 20,250?

The HCF of 20,250 is 10

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 20/700, 250/102?

Answer: GCF of Numerators as per given numbers 20/700, 250/102 is

GCF of Numerators i.e. for 20,250 is 10

LCM of denominators i.e. for 700,102 is 35700.

Thus, GCF of Fractions is 10/35700.Finally, GCF of Fractions for 20/700, 250/102 is 10/35700.