GCF of 579/61, 752/70, 678/70
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 579/61, 752/70, 678/70 i.e 1/4270 easily. The following is the detailed procedure to determine the greatest common factor of fractions 579/61, 752/70, 678/70.
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 579/61,752/70,678/70?
Given fractions are 579/61,752/70,678/70
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 579/61,752/70,678/70, numerators are 579,752,678
Denominators are 61,70,70
The GCF of 579,752,678 is 1 .
LCM of 61,70,70 is 4270.
The greatest common factor of 579/61,752/70,678/70 = [GCF of 579,752,678]/[LCM of 61,70,70]= 1/4270
Therefore, the GCF of 579/61,752/70,678/70 is 1/4270.
To find the highest common factor of 579,752,678, we have to find the factors of both numbers and list the highest common factor.
The factors of 579 are 1, 3, 193, 579
The factors of 752 are 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
The factors of 678 are 1, 2, 3, 6, 113, 226, 339, 678
The HCF of 579,752,678 is 1.
Lets's calculate GCF of 579,752,678
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 579,752,678 By Matching Biggest Common Factor Method
Now, list down the factors of 579
:1,3,193,579
Now, list down the factors of 752
:1,2,4,8,16,47,94,188,376,752
Now, list down the factors of 678
:1,2,3,6,113,226,339,678
Greatest Common Factor
We found the factors 579,752,678 . The biggest common factor number is the GCF number.
So the greatest common factor 579,752,678 is 1.
Lets's calculate LCM of 61,70,70
| 2 | 61, 70, 70 |
| 5 | 61, 35, 35 |
| 7 | 61, 7, 7 |
| 61, 1, 1 |
∴ So the LCM of the given numbers is 2 x 5 x 7 x 61 x 1 x 1 = 4270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4270
Therefore, the GCF of Fractions 579/61,752/70,678/70 is 1/4270
Least Common Multiple of 61,70,70 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 61,70,70 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,70,70) = 1
common factors(in case of two or more numbers have common factors) = 70
GCF(61,70,70) x common factors =1 x 70 = 70
LCM(61,70,70) = ( 61 × 70 × 70 ) / 70
LCM(61,70,70) = 298900 / 70
LCM(61,70,70) = 4270
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 579/61, 752/70, 678/70
1. What is the HCF of 579,752,678?
The HCF of 579,752,678 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 579/61, 752/70, 678/70?
Answer: GCF of Numerators as per given numbers 579/61, 752/70, 678/70 is
GCF of Numerators i.e. for 579,752,678 is 1
LCM of denominators i.e. for 61,70,70 is 4270.
Thus, GCF of Fractions is 1/4270.Finally, GCF of Fractions for 579/61, 752/70, 678/70 is 1/4270.