How to Find GCF of 77/83, 54/49, 745/179?

GCF of 77/83, 54/49, 745/179

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 77/83, 54/49, 745/179 i.e 1/727993 easily. The following is the detailed procedure to determine the greatest common factor of fractions 77/83, 54/49, 745/179.

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 77/83,54/49,745/179?

Given fractions are 77/83,54/49,745/179

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 77/83,54/49,745/179, numerators are 77,54,745

Denominators are 83,49,179

The GCF of 77,54,745 is 1 .

LCM of 83,49,179 is 727993.

The greatest common factor of 77/83,54/49,745/179 = [GCF of 77,54,745]/[LCM of 83,49,179]= 1/727993

Therefore, the GCF of 77/83,54/49,745/179 is 1/727993.

Greatest Common Factor of 77,54,745

To find the highest common factor of 77,54,745, we have to find the factors of both numbers and list the highest common factor.

The factors of 77 are 1, 7, 11, 77

The factors of 54 are 1, 2, 3, 6, 9, 18, 27, 54

The factors of 745 are 1, 5, 149, 745

The HCF of 77,54,745 is 1.

Lets's calculate GCF of 77,54,745

Greatest Common Factor (GCF) of 77,54,745 By Common Division

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

Greatest Common Factor of 77,54,745 By Matching Biggest Common Factor Method

Now, list down the factors of 77

1,7,11,77

Now, list down the factors of 54

1,2,3,6,9,18,27,54

Now, list down the factors of 745

1,5,149,745

Greatest Common Factor

We found the factors 77,54,745 . The biggest common factor number is the GCF number.
So the greatest common factor 77,54,745 is 1.

Lets's calculate LCM of 83,49,179

Lowest Common Multiple of 83,49,179 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 727993

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/727993

Therefore, the GCF of Fractions 77/83,54/49,745/179 is 1/727993

Least Common Multiple of 83,49,179 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 83,49,179 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,49,179) = 1

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

GCF(83,49,179) x common factors =1 x 1 = 1

LCM(83,49,179) = ( 83 × 49 × 179 ) / 1

LCM(83,49,179) = 727993 / 1

LCM(83,49,179) = 727993

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FAQs on GCF of Fractions of 77/83, 54/49, 745/179

1. What is the HCF of 77,54,745?

The HCF of 77,54,745 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 77/83, 54/49, 745/179?

Answer: GCF of Numerators as per given numbers 77/83, 54/49, 745/179 is

GCF of Numerators i.e. for 77,54,745 is 1

LCM of denominators i.e. for 83,49,179 is 727993.

Thus, GCF of Fractions is 1/727993.Finally, GCF of Fractions for 77/83, 54/49, 745/179 is 1/727993.