How to Find GCF of 190/680, 1246/641?

GCF of 190/680, 1246/641

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 190/680, 1246/641 i.e 2/435880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 190/680, 1246/641.

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 190/680,1246/641?

Given fractions are 190/680,1246/641

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 190/680,1246/641, numerators are 190,1246

Denominators are 680,641

The GCF of 190,1246 is 2 .

LCM of 680,641 is 435880.

The greatest common factor of 190/680,1246/641 = [GCF of 190,1246]/[LCM of 680,641]= 2/435880

Therefore, the GCF of 190/680,1246/641 is 2/435880.

Greatest Common Factor of 190,1246

To find the highest common factor of 190,1246, we have to find the factors of both numbers and list the highest common factor.

The factors of 190 are 1, 2, 5, 10, 19, 38, 95, 190

The factors of 1246 are 1, 2, 7, 14, 89, 178, 623, 1246

The HCF of 190,1246 is 2.

Lets's calculate GCF of 190,1246

Greatest Common Factor (GCF) of 190,1246 By Common Division

2	190, 1246
	95, 623

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

Greatest Common Factor of 190,1246 By Matching Biggest Common Factor Method

Now, list down the factors of 190

1,2,5,10,19,38,95,190

Now, list down the factors of 1246

1,2,7,14,89,178,623,1246

Greatest Common Factor

We found the factors 190,1246 . The biggest common factor number is the GCF number.
So the greatest common factor 190,1246 is 2.

Lets's calculate LCM of 680,641

Lowest Common Multiple of 680,641 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 435880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/435880

Therefore, the GCF of Fractions 190/680,1246/641 is 2/435880

Least Common Multiple of 680,641 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 680,641 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(680,641) = 1

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

GCF(680,641) x common factors =1 x 1 = 1

LCM(680,641) = ( 680 × 641 ) / 1

LCM(680,641) = 435880 / 1

LCM(680,641) = 435880

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FAQs on GCF of Fractions of 190/680, 1246/641

1. What is the HCF of 190,1246?

The HCF of 190,1246 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 190/680, 1246/641?

Answer: GCF of Numerators as per given numbers 190/680, 1246/641 is

GCF of Numerators i.e. for 190,1246 is 2

LCM of denominators i.e. for 680,641 is 435880.

Thus, GCF of Fractions is 2/435880.Finally, GCF of Fractions for 190/680, 1246/641 is 2/435880.