How to Find GCF of 78/55, 709/69, 418/326?

GCF of 78/55, 709/69, 418/326

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 78/55, 709/69, 418/326 i.e 1/1237170 easily. The following is the detailed procedure to determine the greatest common factor of fractions 78/55, 709/69, 418/326.

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 78/55,709/69,418/326?

Given fractions are 78/55,709/69,418/326

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 78/55,709/69,418/326, numerators are 78,709,418

Denominators are 55,69,326

The GCF of 78,709,418 is 1 .

LCM of 55,69,326 is 1237170.

The greatest common factor of 78/55,709/69,418/326 = [GCF of 78,709,418]/[LCM of 55,69,326]= 1/1237170

Therefore, the GCF of 78/55,709/69,418/326 is 1/1237170.

Greatest Common Factor of 78,709,418

To find the highest common factor of 78,709,418, we have to find the factors of both numbers and list the highest common factor.

The factors of 78 are 1, 2, 3, 6, 13, 26, 39, 78

The factors of 709 are 1, 709

The factors of 418 are 1, 2, 11, 19, 22, 38, 209, 418

The HCF of 78,709,418 is 1.

Lets's calculate GCF of 78,709,418

Greatest Common Factor (GCF) of 78,709,418 By Common Division

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

Greatest Common Factor of 78,709,418 By Matching Biggest Common Factor Method

Now, list down the factors of 78

1,2,3,6,13,26,39,78

Now, list down the factors of 709

1,709

Now, list down the factors of 418

1,2,11,19,22,38,209,418

Greatest Common Factor

We found the factors 78,709,418 . The biggest common factor number is the GCF number.
So the greatest common factor 78,709,418 is 1.

Lets's calculate LCM of 55,69,326

Lowest Common Multiple of 55,69,326 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1237170

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1237170

Therefore, the GCF of Fractions 78/55,709/69,418/326 is 1/1237170

Least Common Multiple of 55,69,326 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 55,69,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,69,326) = 1

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

GCF(55,69,326) x common factors =1 x 1 = 1

LCM(55,69,326) = ( 55 × 69 × 326 ) / 1

LCM(55,69,326) = 1237170 / 1

LCM(55,69,326) = 1237170

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FAQs on GCF of Fractions of 78/55, 709/69, 418/326

1. What is the HCF of 78,709,418?

The HCF of 78,709,418 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 78/55, 709/69, 418/326?

Answer: GCF of Numerators as per given numbers 78/55, 709/69, 418/326 is

GCF of Numerators i.e. for 78,709,418 is 1

LCM of denominators i.e. for 55,69,326 is 1237170.

Thus, GCF of Fractions is 1/1237170.Finally, GCF of Fractions for 78/55, 709/69, 418/326 is 1/1237170.