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GCF of 199/94, 870/924

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 199/94, 870/924 i.e 1/43428 easily. The following is the detailed procedure to determine the greatest common factor of fractions 199/94, 870/924.

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 199/94,870/924?

Given fractions are 199/94,870/924

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 199/94,870/924, numerators are 199,870

Denominators are 94,924

The GCF of 199,870 is 1 .

LCM of 94,924 is 43428.

The greatest common factor of 199/94,870/924 = [GCF of 199,870]/[LCM of 94,924]= 1/43428

Therefore, the GCF of 199/94,870/924 is 1/43428.

Greatest Common Factor of 199,870

To find the highest common factor of 199,870, we have to find the factors of both numbers and list the highest common factor.

The factors of 199 are 1, 199

The factors of 870 are 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

The HCF of 199,870 is 1.

Lets's calculate GCF of 199,870

Greatest Common Factor (GCF) of 199,870 By Common Division

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

Greatest Common Factor of 199,870 By Matching Biggest Common Factor Method

Greatest Common Factor of 199,870 By Matching Biggest Common Factor Method

Now, list down the factors of 199

:

1,199

Now, list down the factors of 870

:

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Greatest Common Factor

We found the factors 199,870 . The biggest common factor number is the GCF number.
So the greatest common factor 199,870 is 1.

Lets's calculate LCM of 94,924

Lowest Common Multiple of 94,924 using Common Division

2 94, 924
47, 462

∴ So the LCM of the given numbers is 2 x 47 x 462 = 43428

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43428

Therefore, the GCF of Fractions 199/94,870/924 is 1/43428

Least Common Multiple of 94,924 with GCF Formula

Least Common Multiple of 94,924 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 94,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,924) = 2

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

GCF(94,924) x common factors =2 x 1 = 2

LCM(94,924) = ( 94 × 924 ) / 2

LCM(94,924) = 86856 / 2

LCM(94,924) = 43428


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FAQs on GCF of Fractions of 199/94, 870/924

1. What is the HCF of 199,870?

The HCF of 199,870 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 199/94, 870/924?

Answer: GCF of Numerators as per given numbers 199/94, 870/924 is

GCF of Numerators i.e. for 199,870 is 1

LCM of denominators i.e. for 94,924 is 43428.

Thus, GCF of Fractions is 1/43428.Finally, GCF of Fractions for 199/94, 870/924 is 1/43428.