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GCF of 250/196, 505/900

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 250/196, 505/900 i.e 5/44100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 250/196, 505/900.

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 250/196,505/900?

Given fractions are 250/196,505/900

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 250/196,505/900, numerators are 250,505

Denominators are 196,900

The GCF of 250,505 is 5 .

LCM of 196,900 is 44100.

The greatest common factor of 250/196,505/900 = [GCF of 250,505]/[LCM of 196,900]= 5/44100

Therefore, the GCF of 250/196,505/900 is 5/44100.

Greatest Common Factor of 250,505

To find the highest common factor of 250,505, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 505 are 1, 5, 101, 505

The HCF of 250,505 is 5.

Lets's calculate GCF of 250,505

Greatest Common Factor (GCF) of 250,505 By Common Division

5 250, 505
50, 101

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 250,505 By Matching Biggest Common Factor Method

Greatest Common Factor of 250,505 By Matching Biggest Common Factor Method

Now, list down the factors of 250

:

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

Now, list down the factors of 505

:

1,5,101,505

Greatest Common Factor

We found the factors 250,505 . The biggest common factor number is the GCF number.
So the greatest common factor 250,505 is 5.

Lets's calculate LCM of 196,900

Lowest Common Multiple of 196,900 using Common Division

2 196, 900
2 98, 450
49, 225

∴ So the LCM of the given numbers is 2 x 2 x 49 x 225 = 44100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/44100

Therefore, the GCF of Fractions 250/196,505/900 is 5/44100

Least Common Multiple of 196,900 with GCF Formula

Least Common Multiple of 196,900 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 196,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(196,900) = 4

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

GCF(196,900) x common factors =4 x 1 = 4

LCM(196,900) = ( 196 × 900 ) / 4

LCM(196,900) = 176400 / 4

LCM(196,900) = 44100


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FAQs on GCF of Fractions of 250/196, 505/900

1. What is the HCF of 250,505?

The HCF of 250,505 is 5

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 250/196, 505/900?

Answer: GCF of Numerators as per given numbers 250/196, 505/900 is

GCF of Numerators i.e. for 250,505 is 5

LCM of denominators i.e. for 196,900 is 44100.

Thus, GCF of Fractions is 5/44100.Finally, GCF of Fractions for 250/196, 505/900 is 5/44100.