Use our free GCF of Fractions Calculator tool to compute the GCF of 94/60, 679/94, 979/331 i.e 1/933420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 94/60, 679/94, 979/331.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 94/60,679/94,979/331
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 94/60,679/94,979/331, numerators are 94,679,979
Denominators are 60,94,331
The GCF of 94,679,979 is 1 .
LCM of 60,94,331 is 933420.
The greatest common factor of 94/60,679/94,979/331 = [GCF of 94,679,979]/[LCM of 60,94,331]= 1/933420
Therefore, the GCF of 94/60,679/94,979/331 is 1/933420.
To find the highest common factor of 94,679,979, we have to find the factors of both numbers and list the highest common factor.
The factors of 94 are 1, 2, 47, 94
The factors of 679 are 1, 7, 97, 679
The factors of 979 are 1, 11, 89, 979
The HCF of 94,679,979 is 1.
Lets's calculate GCF of 94,679,979
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 94
:1,2,47,94
Now, list down the factors of 679
:1,7,97,679
Now, list down the factors of 979
:1,11,89,979
Greatest Common Factor
We found the factors 94,679,979 . The biggest common factor number is the GCF number.
So the greatest common factor 94,679,979 is 1.
Lets's calculate LCM of 60,94,331
2 | 60, 94, 331 |
30, 47, 331 |
∴ So the LCM of the given numbers is 2 x 30 x 47 x 331 = 933420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/933420
Therefore, the GCF of Fractions 94/60,679/94,979/331 is 1/933420
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 60,94,331 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,94,331) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(60,94,331) x common factors =1 x 2 = 2
LCM(60,94,331) = ( 60 × 94 × 331 ) / 2
LCM(60,94,331) = 1866840 / 2
LCM(60,94,331) = 933420
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 94,679,979?
The HCF of 94,679,979 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 94/60, 679/94, 979/331?
Answer: GCF of Numerators as per given numbers 94/60, 679/94, 979/331 is
GCF of Numerators i.e. for 94,679,979 is 1
LCM of denominators i.e. for 60,94,331 is 933420.
Thus, GCF of Fractions is 1/933420.Finally, GCF of Fractions for 94/60, 679/94, 979/331 is 1/933420.