GCF of 7848/854, 6735/7758
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7848/854, 6735/7758 i.e 3/3312666 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7848/854, 6735/7758.
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 7848/854,6735/7758?
Given fractions are 7848/854,6735/7758
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 7848/854,6735/7758, numerators are 7848,6735
Denominators are 854,7758
The GCF of 7848,6735 is 3 .
LCM of 854,7758 is 3312666.
The greatest common factor of 7848/854,6735/7758 = [GCF of 7848,6735]/[LCM of 854,7758]= 3/3312666
Therefore, the GCF of 7848/854,6735/7758 is 3/3312666.
To find the highest common factor of 7848,6735, we have to find the factors of both numbers and list the highest common factor.
The factors of 7848 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 109, 218, 327, 436, 654, 872, 981, 1308, 1962, 2616, 3924, 7848
The factors of 6735 are 1, 3, 5, 15, 449, 1347, 2245, 6735
The HCF of 7848,6735 is 3.
Lets's calculate GCF of 7848,6735
| 3 | 7848, 6735 |
| 2616, 2245 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7848,6735 By Matching Biggest Common Factor Method
Now, list down the factors of 7848
:1,2,3,4,6,8,9,12,18,24,36,72,109,218,327,436,654,872,981,1308,1962,2616,3924,7848
Now, list down the factors of 6735
:1,3,5,15,449,1347,2245,6735
Greatest Common Factor
We found the factors 7848,6735 . The biggest common factor number is the GCF number.
So the greatest common factor 7848,6735 is 3.
Lets's calculate LCM of 854,7758
| 2 | 854, 7758 |
| 427, 3879 |
∴ So the LCM of the given numbers is 2 x 427 x 3879 = 3312666
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3312666
Therefore, the GCF of Fractions 7848/854,6735/7758 is 3/3312666
Least Common Multiple of 854,7758 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 854,7758 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(854,7758) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(854,7758) x common factors =2 x 1 = 2
LCM(854,7758) = ( 854 × 7758 ) / 2
LCM(854,7758) = 6625332 / 2
LCM(854,7758) = 3312666
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7848/854, 6735/7758
1. What is the HCF of 7848,6735?
The HCF of 7848,6735 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 7848/854, 6735/7758?
Answer: GCF of Numerators as per given numbers 7848/854, 6735/7758 is
GCF of Numerators i.e. for 7848,6735 is 3
LCM of denominators i.e. for 854,7758 is 3312666.
Thus, GCF of Fractions is 3/3312666.Finally, GCF of Fractions for 7848/854, 6735/7758 is 3/3312666.