How to Find GCF of 2244/185, 7426/1139?

GCF of 2244/185, 7426/1139

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 2244/185, 7426/1139 i.e 2/210715 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2244/185, 7426/1139.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 2244/185,7426/1139?

Given fractions are 2244/185,7426/1139

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 2244/185,7426/1139, numerators are 2244,7426

Denominators are 185,1139

The GCF of 2244,7426 is 2 .

LCM of 185,1139 is 210715.

The greatest common factor of 2244/185,7426/1139 = [GCF of 2244,7426]/[LCM of 185,1139]= 2/210715

Therefore, the GCF of 2244/185,7426/1139 is 2/210715.

Greatest Common Factor of 2244,7426

To find the highest common factor of 2244,7426, we have to find the factors of both numbers and list the highest common factor.

The factors of 2244 are 1, 2, 3, 4, 6, 11, 12, 17, 22, 33, 34, 44, 51, 66, 68, 102, 132, 187, 204, 374, 561, 748, 1122, 2244

The factors of 7426 are 1, 2, 47, 79, 94, 158, 3713, 7426

The HCF of 2244,7426 is 2.

Lets's calculate GCF of 2244,7426

Greatest Common Factor (GCF) of 2244,7426 By Common Division

2	2244, 7426
	1122, 3713

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

Greatest Common Factor of 2244,7426 By Matching Biggest Common Factor Method

Now, list down the factors of 2244

1,2,3,4,6,11,12,17,22,33,34,44,51,66,68,102,132,187,204,374,561,748,1122,2244

Now, list down the factors of 7426

1,2,47,79,94,158,3713,7426

Greatest Common Factor

We found the factors 2244,7426 . The biggest common factor number is the GCF number.
So the greatest common factor 2244,7426 is 2.

Lets's calculate LCM of 185,1139

Lowest Common Multiple of 185,1139 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 210715

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/210715

Therefore, the GCF of Fractions 2244/185,7426/1139 is 2/210715

Least Common Multiple of 185,1139 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 185,1139 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(185,1139) = 1

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

GCF(185,1139) x common factors =1 x 1 = 1

LCM(185,1139) = ( 185 × 1139 ) / 1

LCM(185,1139) = 210715 / 1

LCM(185,1139) = 210715

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2244/185, 7426/1139

1. What is the HCF of 2244,7426?

The HCF of 2244,7426 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 2244/185, 7426/1139?

Answer: GCF of Numerators as per given numbers 2244/185, 7426/1139 is

GCF of Numerators i.e. for 2244,7426 is 2

LCM of denominators i.e. for 185,1139 is 210715.

Thus, GCF of Fractions is 2/210715.Finally, GCF of Fractions for 2244/185, 7426/1139 is 2/210715.