GCF of 7861/114, 2120/4356
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7861/114, 2120/4356 i.e 1/82764 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7861/114, 2120/4356.
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 7861/114,2120/4356?
Given fractions are 7861/114,2120/4356
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 7861/114,2120/4356, numerators are 7861,2120
Denominators are 114,4356
The GCF of 7861,2120 is 1 .
LCM of 114,4356 is 82764.
The greatest common factor of 7861/114,2120/4356 = [GCF of 7861,2120]/[LCM of 114,4356]= 1/82764
Therefore, the GCF of 7861/114,2120/4356 is 1/82764.
To find the highest common factor of 7861,2120, we have to find the factors of both numbers and list the highest common factor.
The factors of 7861 are 1, 7, 1123, 7861
The factors of 2120 are 1, 2, 4, 5, 8, 10, 20, 40, 53, 106, 212, 265, 424, 530, 1060, 2120
The HCF of 7861,2120 is 1.
Lets's calculate GCF of 7861,2120
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7861,2120 By Matching Biggest Common Factor Method
Now, list down the factors of 7861
:1,7,1123,7861
Now, list down the factors of 2120
:1,2,4,5,8,10,20,40,53,106,212,265,424,530,1060,2120
Greatest Common Factor
We found the factors 7861,2120 . The biggest common factor number is the GCF number.
So the greatest common factor 7861,2120 is 1.
Lets's calculate LCM of 114,4356
| 2 | 114, 4356 |
| 3 | 57, 2178 |
| 19, 726 |
∴ So the LCM of the given numbers is 2 x 3 x 19 x 726 = 82764
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/82764
Therefore, the GCF of Fractions 7861/114,2120/4356 is 1/82764
Least Common Multiple of 114,4356 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 114,4356 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(114,4356) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(114,4356) x common factors =6 x 1 = 6
LCM(114,4356) = ( 114 × 4356 ) / 6
LCM(114,4356) = 496584 / 6
LCM(114,4356) = 82764
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7861/114, 2120/4356
1. What is the HCF of 7861,2120?
The HCF of 7861,2120 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 7861/114, 2120/4356?
Answer: GCF of Numerators as per given numbers 7861/114, 2120/4356 is
GCF of Numerators i.e. for 7861,2120 is 1
LCM of denominators i.e. for 114,4356 is 82764.
Thus, GCF of Fractions is 1/82764.Finally, GCF of Fractions for 7861/114, 2120/4356 is 1/82764.