GCF of 714/12, 377/9714
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 714/12, 377/9714 i.e 1/19428 easily. The following is the detailed procedure to determine the greatest common factor of fractions 714/12, 377/9714.
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 714/12,377/9714?
Given fractions are 714/12,377/9714
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 714/12,377/9714, numerators are 714,377
Denominators are 12,9714
The GCF of 714,377 is 1 .
LCM of 12,9714 is 19428.
The greatest common factor of 714/12,377/9714 = [GCF of 714,377]/[LCM of 12,9714]= 1/19428
Therefore, the GCF of 714/12,377/9714 is 1/19428.
To find the highest common factor of 714,377, we have to find the factors of both numbers and list the highest common factor.
The factors of 714 are 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
The factors of 377 are 1, 13, 29, 377
The HCF of 714,377 is 1.
Lets's calculate GCF of 714,377
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 714,377 By Matching Biggest Common Factor Method
Now, list down the factors of 714
:1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714
Now, list down the factors of 377
:1,13,29,377
Greatest Common Factor
We found the factors 714,377 . The biggest common factor number is the GCF number.
So the greatest common factor 714,377 is 1.
Lets's calculate LCM of 12,9714
| 2 | 12, 9714 |
| 3 | 6, 4857 |
| 2, 1619 |
∴ So the LCM of the given numbers is 2 x 3 x 2 x 1619 = 19428
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19428
Therefore, the GCF of Fractions 714/12,377/9714 is 1/19428
Least Common Multiple of 12,9714 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 12,9714 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,9714) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(12,9714) x common factors =6 x 1 = 6
LCM(12,9714) = ( 12 × 9714 ) / 6
LCM(12,9714) = 116568 / 6
LCM(12,9714) = 19428
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 714/12, 377/9714
1. What is the HCF of 714,377?
The HCF of 714,377 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 714/12, 377/9714?
Answer: GCF of Numerators as per given numbers 714/12, 377/9714 is
GCF of Numerators i.e. for 714,377 is 1
LCM of denominators i.e. for 12,9714 is 19428.
Thus, GCF of Fractions is 1/19428.Finally, GCF of Fractions for 714/12, 377/9714 is 1/19428.