How to Find GCF of 3737/70, 6060/689?

GCF of 3737/70, 6060/689

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 3737/70, 6060/689 i.e 101/48230 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3737/70, 6060/689.

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 3737/70,6060/689?

Given fractions are 3737/70,6060/689

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 3737/70,6060/689, numerators are 3737,6060

Denominators are 70,689

The GCF of 3737,6060 is 101 .

LCM of 70,689 is 48230.

The greatest common factor of 3737/70,6060/689 = [GCF of 3737,6060]/[LCM of 70,689]= 101/48230

Therefore, the GCF of 3737/70,6060/689 is 101/48230.

Greatest Common Factor of 3737,6060

To find the highest common factor of 3737,6060, we have to find the factors of both numbers and list the highest common factor.

The factors of 3737 are 1, 37, 101, 3737

The factors of 6060 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 101, 202, 303, 404, 505, 606, 1010, 1212, 1515, 2020, 3030, 6060

The HCF of 3737,6060 is 101.

Lets's calculate GCF of 3737,6060

Greatest Common Factor (GCF) of 3737,6060 By Common Division

101	3737, 6060
	37, 60

∴ So the GCF of the given numbers is 101 = 101

Greatest Common Factor of 3737,6060 By Matching Biggest Common Factor Method

Now, list down the factors of 3737

1,37,101,3737

Now, list down the factors of 6060

1,2,3,4,5,6,10,12,15,20,30,60,101,202,303,404,505,606,1010,1212,1515,2020,3030,6060

Greatest Common Factor

We found the factors 3737,6060 . The biggest common factor number is the GCF number.
So the greatest common factor 3737,6060 is 101.

Lets's calculate LCM of 70,689

Lowest Common Multiple of 70,689 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 48230

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 101/48230

Therefore, the GCF of Fractions 3737/70,6060/689 is 101/48230

Least Common Multiple of 70,689 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 70,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,689) = 1

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

GCF(70,689) x common factors =1 x 1 = 1

LCM(70,689) = ( 70 × 689 ) / 1

LCM(70,689) = 48230 / 1

LCM(70,689) = 48230

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FAQs on GCF of Fractions of 3737/70, 6060/689

1. What is the HCF of 3737,6060?

The HCF of 3737,6060 is 101

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 3737/70, 6060/689?

Answer: GCF of Numerators as per given numbers 3737/70, 6060/689 is

GCF of Numerators i.e. for 3737,6060 is 101

LCM of denominators i.e. for 70,689 is 48230.

Thus, GCF of Fractions is 101/48230.Finally, GCF of Fractions for 3737/70, 6060/689 is 101/48230.