How to Find GCF of 5161/930, 6745/768?

GCF of 5161/930, 6745/768

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 5161/930, 6745/768 i.e 1/119040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5161/930, 6745/768.

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 5161/930,6745/768?

Given fractions are 5161/930,6745/768

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 5161/930,6745/768, numerators are 5161,6745

Denominators are 930,768

The GCF of 5161,6745 is 1 .

LCM of 930,768 is 119040.

The greatest common factor of 5161/930,6745/768 = [GCF of 5161,6745]/[LCM of 930,768]= 1/119040

Therefore, the GCF of 5161/930,6745/768 is 1/119040.

Greatest Common Factor of 5161,6745

To find the highest common factor of 5161,6745, we have to find the factors of both numbers and list the highest common factor.

The factors of 5161 are 1, 13, 397, 5161

The factors of 6745 are 1, 5, 19, 71, 95, 355, 1349, 6745

The HCF of 5161,6745 is 1.

Lets's calculate GCF of 5161,6745

Greatest Common Factor (GCF) of 5161,6745 By Common Division

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

Greatest Common Factor of 5161,6745 By Matching Biggest Common Factor Method

Now, list down the factors of 5161

1,13,397,5161

Now, list down the factors of 6745

1,5,19,71,95,355,1349,6745

Greatest Common Factor

We found the factors 5161,6745 . The biggest common factor number is the GCF number.
So the greatest common factor 5161,6745 is 1.

Lets's calculate LCM of 930,768

Lowest Common Multiple of 930,768 using Common Division

2	930, 768
3	465, 384
	155, 128

∴ So the LCM of the given numbers is 2 x 3 x 155 x 128 = 119040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/119040

Therefore, the GCF of Fractions 5161/930,6745/768 is 1/119040

Least Common Multiple of 930,768 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 930,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(930,768) = 6

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

GCF(930,768) x common factors =6 x 1 = 6

LCM(930,768) = ( 930 × 768 ) / 6

LCM(930,768) = 714240 / 6

LCM(930,768) = 119040

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FAQs on GCF of Fractions of 5161/930, 6745/768

1. What is the HCF of 5161,6745?

The HCF of 5161,6745 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 5161/930, 6745/768?

Answer: GCF of Numerators as per given numbers 5161/930, 6745/768 is

GCF of Numerators i.e. for 5161,6745 is 1

LCM of denominators i.e. for 930,768 is 119040.

Thus, GCF of Fractions is 1/119040.Finally, GCF of Fractions for 5161/930, 6745/768 is 1/119040.