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GCF of 824/251, 372/821

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 824/251, 372/821 i.e 4/206071 easily. The following is the detailed procedure to determine the greatest common factor of fractions 824/251, 372/821.

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 824/251,372/821?

Given fractions are 824/251,372/821

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 824/251,372/821, numerators are 824,372

Denominators are 251,821

The GCF of 824,372 is 4 .

LCM of 251,821 is 206071.

The greatest common factor of 824/251,372/821 = [GCF of 824,372]/[LCM of 251,821]= 4/206071

Therefore, the GCF of 824/251,372/821 is 4/206071.

Greatest Common Factor of 824,372

To find the highest common factor of 824,372, we have to find the factors of both numbers and list the highest common factor.

The factors of 824 are 1, 2, 4, 8, 103, 206, 412, 824

The factors of 372 are 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

The HCF of 824,372 is 4.

Lets's calculate GCF of 824,372

Greatest Common Factor (GCF) of 824,372 By Common Division

2 824, 372
2 412, 186
206, 93

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 824,372 By Matching Biggest Common Factor Method

Greatest Common Factor of 824,372 By Matching Biggest Common Factor Method

Now, list down the factors of 824

:

1,2,4,8,103,206,412,824

Now, list down the factors of 372

:

1,2,3,4,6,12,31,62,93,124,186,372

Greatest Common Factor

We found the factors 824,372 . The biggest common factor number is the GCF number.
So the greatest common factor 824,372 is 4.


Lets's calculate LCM of 251,821

Lowest Common Multiple of 251,821 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 206071

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/206071

Therefore, the GCF of Fractions 824/251,372/821 is 4/206071

Least Common Multiple of 251,821 with GCF Formula

Least Common Multiple of 251,821 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 251,821 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(251,821) = 1

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

GCF(251,821) x common factors =1 x 1 = 1

LCM(251,821) = ( 251 × 821 ) / 1

LCM(251,821) = 206071 / 1

LCM(251,821) = 206071


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 824/251, 372/821

1. What is the HCF of 824,372?

The HCF of 824,372 is 4

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 824/251, 372/821?

Answer: GCF of Numerators as per given numbers 824/251, 372/821 is

GCF of Numerators i.e. for 824,372 is 4

LCM of denominators i.e. for 251,821 is 206071.

Thus, GCF of Fractions is 4/206071.Finally, GCF of Fractions for 824/251, 372/821 is 4/206071.