How to Find GCF of 6146/190, 2548/7177?

GCF of 6146/190, 2548/7177

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 6146/190, 2548/7177 i.e 14/1363630 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6146/190, 2548/7177.

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 6146/190,2548/7177?

Given fractions are 6146/190,2548/7177

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 6146/190,2548/7177, numerators are 6146,2548

Denominators are 190,7177

The GCF of 6146,2548 is 14 .

LCM of 190,7177 is 1363630.

The greatest common factor of 6146/190,2548/7177 = [GCF of 6146,2548]/[LCM of 190,7177]= 14/1363630

Therefore, the GCF of 6146/190,2548/7177 is 14/1363630.

Greatest Common Factor of 6146,2548

To find the highest common factor of 6146,2548, we have to find the factors of both numbers and list the highest common factor.

The factors of 6146 are 1, 2, 7, 14, 439, 878, 3073, 6146

The factors of 2548 are 1, 2, 4, 7, 13, 14, 26, 28, 49, 52, 91, 98, 182, 196, 364, 637, 1274, 2548

The HCF of 6146,2548 is 14.

Lets's calculate GCF of 6146,2548

Greatest Common Factor (GCF) of 6146,2548 By Common Division

2	6146, 2548
7	3073, 1274
	439, 182

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 6146,2548 By Matching Biggest Common Factor Method

Now, list down the factors of 6146

1,2,7,14,439,878,3073,6146

Now, list down the factors of 2548

1,2,4,7,13,14,26,28,49,52,91,98,182,196,364,637,1274,2548

Greatest Common Factor

We found the factors 6146,2548 . The biggest common factor number is the GCF number.
So the greatest common factor 6146,2548 is 14.

Lets's calculate LCM of 190,7177

Lowest Common Multiple of 190,7177 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1363630

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/1363630

Therefore, the GCF of Fractions 6146/190,2548/7177 is 14/1363630

Least Common Multiple of 190,7177 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 190,7177 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(190,7177) = 1

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

GCF(190,7177) x common factors =1 x 1 = 1

LCM(190,7177) = ( 190 × 7177 ) / 1

LCM(190,7177) = 1363630 / 1

LCM(190,7177) = 1363630

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 6146/190, 2548/7177

1. What is the HCF of 6146,2548?

The HCF of 6146,2548 is 14

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 6146/190, 2548/7177?

Answer: GCF of Numerators as per given numbers 6146/190, 2548/7177 is

GCF of Numerators i.e. for 6146,2548 is 14

LCM of denominators i.e. for 190,7177 is 1363630.

Thus, GCF of Fractions is 14/1363630.Finally, GCF of Fractions for 6146/190, 2548/7177 is 14/1363630.