How to Find GCF of 3093/860, 7736/3170?

GCF of 3093/860, 7736/3170

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 3093/860, 7736/3170 i.e 1/272620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3093/860, 7736/3170.

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 3093/860,7736/3170?

Given fractions are 3093/860,7736/3170

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 3093/860,7736/3170, numerators are 3093,7736

Denominators are 860,3170

The GCF of 3093,7736 is 1 .

LCM of 860,3170 is 272620.

The greatest common factor of 3093/860,7736/3170 = [GCF of 3093,7736]/[LCM of 860,3170]= 1/272620

Therefore, the GCF of 3093/860,7736/3170 is 1/272620.

Greatest Common Factor of 3093,7736

To find the highest common factor of 3093,7736, we have to find the factors of both numbers and list the highest common factor.

The factors of 3093 are 1, 3, 1031, 3093

The factors of 7736 are 1, 2, 4, 8, 967, 1934, 3868, 7736

The HCF of 3093,7736 is 1.

Lets's calculate GCF of 3093,7736

Greatest Common Factor (GCF) of 3093,7736 By Common Division

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

Greatest Common Factor of 3093,7736 By Matching Biggest Common Factor Method

Now, list down the factors of 3093

1,3,1031,3093

Now, list down the factors of 7736

1,2,4,8,967,1934,3868,7736

Greatest Common Factor

We found the factors 3093,7736 . The biggest common factor number is the GCF number.
So the greatest common factor 3093,7736 is 1.

Lets's calculate LCM of 860,3170

Lowest Common Multiple of 860,3170 using Common Division

2	860, 3170
5	430, 1585
	86, 317

∴ So the LCM of the given numbers is 2 x 5 x 86 x 317 = 272620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/272620

Therefore, the GCF of Fractions 3093/860,7736/3170 is 1/272620

Least Common Multiple of 860,3170 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 860,3170 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(860,3170) = 10

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

GCF(860,3170) x common factors =10 x 1 = 10

LCM(860,3170) = ( 860 × 3170 ) / 10

LCM(860,3170) = 2726200 / 10

LCM(860,3170) = 272620

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 3093/860, 7736/3170

1. What is the HCF of 3093,7736?

The HCF of 3093,7736 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 3093/860, 7736/3170?

Answer: GCF of Numerators as per given numbers 3093/860, 7736/3170 is

GCF of Numerators i.e. for 3093,7736 is 1

LCM of denominators i.e. for 860,3170 is 272620.

Thus, GCF of Fractions is 1/272620.Finally, GCF of Fractions for 3093/860, 7736/3170 is 1/272620.