How to Find GCF of 2770/148, 2186/7991?

GCF of 2770/148, 2186/7991

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 2770/148, 2186/7991 i.e 2/1182668 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2770/148, 2186/7991.

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 2770/148,2186/7991?

Given fractions are 2770/148,2186/7991

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 2770/148,2186/7991, numerators are 2770,2186

Denominators are 148,7991

The GCF of 2770,2186 is 2 .

LCM of 148,7991 is 1182668.

The greatest common factor of 2770/148,2186/7991 = [GCF of 2770,2186]/[LCM of 148,7991]= 2/1182668

Therefore, the GCF of 2770/148,2186/7991 is 2/1182668.

Greatest Common Factor of 2770,2186

To find the highest common factor of 2770,2186, we have to find the factors of both numbers and list the highest common factor.

The factors of 2770 are 1, 2, 5, 10, 277, 554, 1385, 2770

The factors of 2186 are 1, 2, 1093, 2186

The HCF of 2770,2186 is 2.

Lets's calculate GCF of 2770,2186

Greatest Common Factor (GCF) of 2770,2186 By Common Division

2	2770, 2186
	1385, 1093

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

Greatest Common Factor of 2770,2186 By Matching Biggest Common Factor Method

Now, list down the factors of 2770

1,2,5,10,277,554,1385,2770

Now, list down the factors of 2186

1,2,1093,2186

Greatest Common Factor

We found the factors 2770,2186 . The biggest common factor number is the GCF number.
So the greatest common factor 2770,2186 is 2.

Lets's calculate LCM of 148,7991

Lowest Common Multiple of 148,7991 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1182668

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1182668

Therefore, the GCF of Fractions 2770/148,2186/7991 is 2/1182668

Least Common Multiple of 148,7991 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 148,7991 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(148,7991) = 1

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

GCF(148,7991) x common factors =1 x 1 = 1

LCM(148,7991) = ( 148 × 7991 ) / 1

LCM(148,7991) = 1182668 / 1

LCM(148,7991) = 1182668

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FAQs on GCF of Fractions of 2770/148, 2186/7991

1. What is the HCF of 2770,2186?

The HCF of 2770,2186 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 2770/148, 2186/7991?

Answer: GCF of Numerators as per given numbers 2770/148, 2186/7991 is

GCF of Numerators i.e. for 2770,2186 is 2

LCM of denominators i.e. for 148,7991 is 1182668.

Thus, GCF of Fractions is 2/1182668.Finally, GCF of Fractions for 2770/148, 2186/7991 is 2/1182668.