GCF of 62/134, 779/728, 679/219
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 62/134, 779/728, 679/219 i.e 1/10681944 easily. The following is the detailed procedure to determine the greatest common factor of fractions 62/134, 779/728, 679/219.
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 62/134,779/728,679/219?
Given fractions are 62/134,779/728,679/219
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 62/134,779/728,679/219, numerators are 62,779,679
Denominators are 134,728,219
The GCF of 62,779,679 is 1 .
LCM of 134,728,219 is 10681944.
The greatest common factor of 62/134,779/728,679/219 = [GCF of 62,779,679]/[LCM of 134,728,219]= 1/10681944
Therefore, the GCF of 62/134,779/728,679/219 is 1/10681944.
To find the highest common factor of 62,779,679, we have to find the factors of both numbers and list the highest common factor.
The factors of 62 are 1, 2, 31, 62
The factors of 779 are 1, 19, 41, 779
The factors of 679 are 1, 7, 97, 679
The HCF of 62,779,679 is 1.
Lets's calculate GCF of 62,779,679
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 62,779,679 By Matching Biggest Common Factor Method
Now, list down the factors of 62
:1,2,31,62
Now, list down the factors of 779
:1,19,41,779
Now, list down the factors of 679
:1,7,97,679
Greatest Common Factor
We found the factors 62,779,679 . The biggest common factor number is the GCF number.
So the greatest common factor 62,779,679 is 1.
Lets's calculate LCM of 134,728,219
| 2 | 134, 728, 219 |
| 67, 364, 219 |
∴ So the LCM of the given numbers is 2 x 67 x 364 x 219 = 10681944
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10681944
Therefore, the GCF of Fractions 62/134,779/728,679/219 is 1/10681944
Least Common Multiple of 134,728,219 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 134,728,219 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(134,728,219) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(134,728,219) x common factors =1 x 2 = 2
LCM(134,728,219) = ( 134 × 728 × 219 ) / 2
LCM(134,728,219) = 21363888 / 2
LCM(134,728,219) = 10681944
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FAQs on GCF of Fractions of 62/134, 779/728, 679/219
1. What is the HCF of 62,779,679?
The HCF of 62,779,679 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 62/134, 779/728, 679/219?
Answer: GCF of Numerators as per given numbers 62/134, 779/728, 679/219 is
GCF of Numerators i.e. for 62,779,679 is 1
LCM of denominators i.e. for 134,728,219 is 10681944.
Thus, GCF of Fractions is 1/10681944.Finally, GCF of Fractions for 62/134, 779/728, 679/219 is 1/10681944.