GCF of 7119/376, 9357/2780
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7119/376, 9357/2780 i.e 3/261320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7119/376, 9357/2780.
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 7119/376,9357/2780?
Given fractions are 7119/376,9357/2780
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 7119/376,9357/2780, numerators are 7119,9357
Denominators are 376,2780
The GCF of 7119,9357 is 3 .
LCM of 376,2780 is 261320.
The greatest common factor of 7119/376,9357/2780 = [GCF of 7119,9357]/[LCM of 376,2780]= 3/261320
Therefore, the GCF of 7119/376,9357/2780 is 3/261320.
To find the highest common factor of 7119,9357, we have to find the factors of both numbers and list the highest common factor.
The factors of 7119 are 1, 3, 7, 9, 21, 63, 113, 339, 791, 1017, 2373, 7119
The factors of 9357 are 1, 3, 3119, 9357
The HCF of 7119,9357 is 3.
Lets's calculate GCF of 7119,9357
| 3 | 7119, 9357 |
| 2373, 3119 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7119,9357 By Matching Biggest Common Factor Method
Now, list down the factors of 7119
:1,3,7,9,21,63,113,339,791,1017,2373,7119
Now, list down the factors of 9357
:1,3,3119,9357
Greatest Common Factor
We found the factors 7119,9357 . The biggest common factor number is the GCF number.
So the greatest common factor 7119,9357 is 3.
Lets's calculate LCM of 376,2780
| 2 | 376, 2780 |
| 2 | 188, 1390 |
| 94, 695 |
∴ So the LCM of the given numbers is 2 x 2 x 94 x 695 = 261320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/261320
Therefore, the GCF of Fractions 7119/376,9357/2780 is 3/261320
Least Common Multiple of 376,2780 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 376,2780 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(376,2780) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(376,2780) x common factors =4 x 1 = 4
LCM(376,2780) = ( 376 × 2780 ) / 4
LCM(376,2780) = 1045280 / 4
LCM(376,2780) = 261320
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FAQs on GCF of Fractions of 7119/376, 9357/2780
1. What is the HCF of 7119,9357?
The HCF of 7119,9357 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 7119/376, 9357/2780?
Answer: GCF of Numerators as per given numbers 7119/376, 9357/2780 is
GCF of Numerators i.e. for 7119,9357 is 3
LCM of denominators i.e. for 376,2780 is 261320.
Thus, GCF of Fractions is 3/261320.Finally, GCF of Fractions for 7119/376, 9357/2780 is 3/261320.