How to Find GCF of 4880/942, 7729/6170?

GCF of 4880/942, 7729/6170

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 4880/942, 7729/6170 i.e 1/2906070 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4880/942, 7729/6170.

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 4880/942,7729/6170?

Given fractions are 4880/942,7729/6170

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 4880/942,7729/6170, numerators are 4880,7729

Denominators are 942,6170

The GCF of 4880,7729 is 1 .

LCM of 942,6170 is 2906070.

The greatest common factor of 4880/942,7729/6170 = [GCF of 4880,7729]/[LCM of 942,6170]= 1/2906070

Therefore, the GCF of 4880/942,7729/6170 is 1/2906070.

Greatest Common Factor of 4880,7729

To find the highest common factor of 4880,7729, we have to find the factors of both numbers and list the highest common factor.

The factors of 4880 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 61, 80, 122, 244, 305, 488, 610, 976, 1220, 2440, 4880

The factors of 7729 are 1, 59, 131, 7729

The HCF of 4880,7729 is 1.

Lets's calculate GCF of 4880,7729

Greatest Common Factor (GCF) of 4880,7729 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 4880,7729 By Matching Biggest Common Factor Method

Now, list down the factors of 4880

1,2,4,5,8,10,16,20,40,61,80,122,244,305,488,610,976,1220,2440,4880

Now, list down the factors of 7729

1,59,131,7729

Greatest Common Factor

We found the factors 4880,7729 . The biggest common factor number is the GCF number.
So the greatest common factor 4880,7729 is 1.

Lets's calculate LCM of 942,6170

Lowest Common Multiple of 942,6170 using Common Division

2	942, 6170
	471, 3085

∴ So the LCM of the given numbers is 2 x 471 x 3085 = 2906070

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2906070

Therefore, the GCF of Fractions 4880/942,7729/6170 is 1/2906070

Least Common Multiple of 942,6170 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 942,6170 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(942,6170) = 2

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

GCF(942,6170) x common factors =2 x 1 = 2

LCM(942,6170) = ( 942 × 6170 ) / 2

LCM(942,6170) = 5812140 / 2

LCM(942,6170) = 2906070

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4880/942, 7729/6170

1. What is the HCF of 4880,7729?

The HCF of 4880,7729 is 1

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 4880/942, 7729/6170?

Answer: GCF of Numerators as per given numbers 4880/942, 7729/6170 is

GCF of Numerators i.e. for 4880,7729 is 1

LCM of denominators i.e. for 942,6170 is 2906070.

Thus, GCF of Fractions is 1/2906070.Finally, GCF of Fractions for 4880/942, 7729/6170 is 1/2906070.