How to Find GCF of 60/47, 698/78, 541/604?

GCF of 60/47, 698/78, 541/604

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 60/47, 698/78, 541/604 i.e 1/1107132 easily. The following is the detailed procedure to determine the greatest common factor of fractions 60/47, 698/78, 541/604.

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 60/47,698/78,541/604?

Given fractions are 60/47,698/78,541/604

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 60/47,698/78,541/604, numerators are 60,698,541

Denominators are 47,78,604

The GCF of 60,698,541 is 1 .

LCM of 47,78,604 is 1107132.

The greatest common factor of 60/47,698/78,541/604 = [GCF of 60,698,541]/[LCM of 47,78,604]= 1/1107132

Therefore, the GCF of 60/47,698/78,541/604 is 1/1107132.

Greatest Common Factor of 60,698,541

To find the highest common factor of 60,698,541, we have to find the factors of both numbers and list the highest common factor.

The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

The factors of 698 are 1, 2, 349, 698

The factors of 541 are 1, 541

The HCF of 60,698,541 is 1.

Lets's calculate GCF of 60,698,541

Greatest Common Factor (GCF) of 60,698,541 By Common Division

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

Greatest Common Factor of 60,698,541 By Matching Biggest Common Factor Method

Now, list down the factors of 60

1,2,3,4,5,6,10,12,15,20,30,60

Now, list down the factors of 698

1,2,349,698

Now, list down the factors of 541

1,541

Greatest Common Factor

We found the factors 60,698,541 . The biggest common factor number is the GCF number.
So the greatest common factor 60,698,541 is 1.

Lets's calculate LCM of 47,78,604

Lowest Common Multiple of 47,78,604 using Common Division

2	47, 78, 604
	47, 39, 302

∴ So the LCM of the given numbers is 2 x 47 x 39 x 302 = 1107132

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1107132

Therefore, the GCF of Fractions 60/47,698/78,541/604 is 1/1107132

Least Common Multiple of 47,78,604 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 47,78,604 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,78,604) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(47,78,604) x common factors =1 x 2 = 2

LCM(47,78,604) = ( 47 × 78 × 604 ) / 2

LCM(47,78,604) = 2214264 / 2

LCM(47,78,604) = 1107132

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 60/47, 698/78, 541/604

1. What is the HCF of 60,698,541?

The HCF of 60,698,541 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 60/47, 698/78, 541/604?

Answer: GCF of Numerators as per given numbers 60/47, 698/78, 541/604 is

GCF of Numerators i.e. for 60,698,541 is 1

LCM of denominators i.e. for 47,78,604 is 1107132.

Thus, GCF of Fractions is 1/1107132.Finally, GCF of Fractions for 60/47, 698/78, 541/604 is 1/1107132.