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GCF of 898/12, 624/191

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 898/12, 624/191 i.e 2/2292 easily. The following is the detailed procedure to determine the greatest common factor of fractions 898/12, 624/191.

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 898/12,624/191?

Given fractions are 898/12,624/191

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 898/12,624/191, numerators are 898,624

Denominators are 12,191

The GCF of 898,624 is 2 .

LCM of 12,191 is 2292.

The greatest common factor of 898/12,624/191 = [GCF of 898,624]/[LCM of 12,191]= 2/2292

Therefore, the GCF of 898/12,624/191 is 2/2292.

Greatest Common Factor of 898,624

To find the highest common factor of 898,624, we have to find the factors of both numbers and list the highest common factor.

The factors of 898 are 1, 2, 449, 898

The factors of 624 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

The HCF of 898,624 is 2.

Lets's calculate GCF of 898,624

Greatest Common Factor (GCF) of 898,624 By Common Division

2 898, 624
449, 312

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

Greatest Common Factor of 898,624 By Matching Biggest Common Factor Method

Greatest Common Factor of 898,624 By Matching Biggest Common Factor Method

Now, list down the factors of 898

:

1,2,449,898

Now, list down the factors of 624

:

1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624

Greatest Common Factor

We found the factors 898,624 . The biggest common factor number is the GCF number.
So the greatest common factor 898,624 is 2.

Lets's calculate LCM of 12,191

Lowest Common Multiple of 12,191 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2292

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2292

Therefore, the GCF of Fractions 898/12,624/191 is 2/2292

Least Common Multiple of 12,191 with GCF Formula

Least Common Multiple of 12,191 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 12,191 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,191) = 1

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

GCF(12,191) x common factors =1 x 1 = 1

LCM(12,191) = ( 12 × 191 ) / 1

LCM(12,191) = 2292 / 1

LCM(12,191) = 2292


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FAQs on GCF of Fractions of 898/12, 624/191

1. What is the HCF of 898,624?

The HCF of 898,624 is 2

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 898/12, 624/191?

Answer: GCF of Numerators as per given numbers 898/12, 624/191 is

GCF of Numerators i.e. for 898,624 is 2

LCM of denominators i.e. for 12,191 is 2292.

Thus, GCF of Fractions is 2/2292.Finally, GCF of Fractions for 898/12, 624/191 is 2/2292.