GCF of 627/714, 2370/381
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 627/714, 2370/381 i.e 3/90678 easily. The following is the detailed procedure to determine the greatest common factor of fractions 627/714, 2370/381.
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 627/714,2370/381?
Given fractions are 627/714,2370/381
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 627/714,2370/381, numerators are 627,2370
Denominators are 714,381
The GCF of 627,2370 is 3 .
LCM of 714,381 is 90678.
The greatest common factor of 627/714,2370/381 = [GCF of 627,2370]/[LCM of 714,381]= 3/90678
Therefore, the GCF of 627/714,2370/381 is 3/90678.
To find the highest common factor of 627,2370, we have to find the factors of both numbers and list the highest common factor.
The factors of 627 are 1, 3, 11, 19, 33, 57, 209, 627
The factors of 2370 are 1, 2, 3, 5, 6, 10, 15, 30, 79, 158, 237, 395, 474, 790, 1185, 2370
The HCF of 627,2370 is 3.
Lets's calculate GCF of 627,2370
| 3 | 627, 2370 |
| 209, 790 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 627,2370 By Matching Biggest Common Factor Method
Now, list down the factors of 627
:1,3,11,19,33,57,209,627
Now, list down the factors of 2370
:1,2,3,5,6,10,15,30,79,158,237,395,474,790,1185,2370
Greatest Common Factor
We found the factors 627,2370 . The biggest common factor number is the GCF number.
So the greatest common factor 627,2370 is 3.
Lets's calculate LCM of 714,381
| 3 | 714, 381 |
| 238, 127 |
∴ So the LCM of the given numbers is 3 x 238 x 127 = 90678
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/90678
Therefore, the GCF of Fractions 627/714,2370/381 is 3/90678
Least Common Multiple of 714,381 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 714,381 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(714,381) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(714,381) x common factors =3 x 1 = 3
LCM(714,381) = ( 714 × 381 ) / 3
LCM(714,381) = 272034 / 3
LCM(714,381) = 90678
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FAQs on GCF of Fractions of 627/714, 2370/381
1. What is the HCF of 627,2370?
The HCF of 627,2370 is 3
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 627/714, 2370/381?
Answer: GCF of Numerators as per given numbers 627/714, 2370/381 is
GCF of Numerators i.e. for 627,2370 is 3
LCM of denominators i.e. for 714,381 is 90678.
Thus, GCF of Fractions is 3/90678.Finally, GCF of Fractions for 627/714, 2370/381 is 3/90678.