How to Find GCF of 3980/680, 7628/654?

GCF of 3980/680, 7628/654

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 3980/680, 7628/654 i.e 4/222360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3980/680, 7628/654.

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 3980/680,7628/654?

Given fractions are 3980/680,7628/654

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 3980/680,7628/654, numerators are 3980,7628

Denominators are 680,654

The GCF of 3980,7628 is 4 .

LCM of 680,654 is 222360.

The greatest common factor of 3980/680,7628/654 = [GCF of 3980,7628]/[LCM of 680,654]= 4/222360

Therefore, the GCF of 3980/680,7628/654 is 4/222360.

Greatest Common Factor of 3980,7628

To find the highest common factor of 3980,7628, we have to find the factors of both numbers and list the highest common factor.

The factors of 3980 are 1, 2, 4, 5, 10, 20, 199, 398, 796, 995, 1990, 3980

The factors of 7628 are 1, 2, 4, 1907, 3814, 7628

The HCF of 3980,7628 is 4.

Lets's calculate GCF of 3980,7628

Greatest Common Factor (GCF) of 3980,7628 By Common Division

2	3980, 7628
2	1990, 3814
	995, 1907

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 3980,7628 By Matching Biggest Common Factor Method

Now, list down the factors of 3980

1,2,4,5,10,20,199,398,796,995,1990,3980

Now, list down the factors of 7628

1,2,4,1907,3814,7628

Greatest Common Factor

We found the factors 3980,7628 . The biggest common factor number is the GCF number.
So the greatest common factor 3980,7628 is 4.

Lets's calculate LCM of 680,654

Lowest Common Multiple of 680,654 using Common Division

2	680, 654
	340, 327

∴ So the LCM of the given numbers is 2 x 340 x 327 = 222360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/222360

Therefore, the GCF of Fractions 3980/680,7628/654 is 4/222360

Least Common Multiple of 680,654 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 680,654 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(680,654) = 2

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

GCF(680,654) x common factors =2 x 1 = 2

LCM(680,654) = ( 680 × 654 ) / 2

LCM(680,654) = 444720 / 2

LCM(680,654) = 222360

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FAQs on GCF of Fractions of 3980/680, 7628/654

1. What is the HCF of 3980,7628?

The HCF of 3980,7628 is 4

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 3980/680, 7628/654?

Answer: GCF of Numerators as per given numbers 3980/680, 7628/654 is

GCF of Numerators i.e. for 3980,7628 is 4

LCM of denominators i.e. for 680,654 is 222360.

Thus, GCF of Fractions is 4/222360.Finally, GCF of Fractions for 3980/680, 7628/654 is 4/222360.