GCF of 7758/318, 5135/3520
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7758/318, 5135/3520 i.e 1/559680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7758/318, 5135/3520.
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 7758/318,5135/3520?
Given fractions are 7758/318,5135/3520
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 7758/318,5135/3520, numerators are 7758,5135
Denominators are 318,3520
The GCF of 7758,5135 is 1 .
LCM of 318,3520 is 559680.
The greatest common factor of 7758/318,5135/3520 = [GCF of 7758,5135]/[LCM of 318,3520]= 1/559680
Therefore, the GCF of 7758/318,5135/3520 is 1/559680.
To find the highest common factor of 7758,5135, we have to find the factors of both numbers and list the highest common factor.
The factors of 7758 are 1, 2, 3, 6, 9, 18, 431, 862, 1293, 2586, 3879, 7758
The factors of 5135 are 1, 5, 13, 65, 79, 395, 1027, 5135
The HCF of 7758,5135 is 1.
Lets's calculate GCF of 7758,5135
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7758,5135 By Matching Biggest Common Factor Method
Now, list down the factors of 7758
:1,2,3,6,9,18,431,862,1293,2586,3879,7758
Now, list down the factors of 5135
:1,5,13,65,79,395,1027,5135
Greatest Common Factor
We found the factors 7758,5135 . The biggest common factor number is the GCF number.
So the greatest common factor 7758,5135 is 1.
Lets's calculate LCM of 318,3520
| 2 | 318, 3520 |
| 159, 1760 |
∴ So the LCM of the given numbers is 2 x 159 x 1760 = 559680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/559680
Therefore, the GCF of Fractions 7758/318,5135/3520 is 1/559680
Least Common Multiple of 318,3520 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 318,3520 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(318,3520) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(318,3520) x common factors =2 x 1 = 2
LCM(318,3520) = ( 318 × 3520 ) / 2
LCM(318,3520) = 1119360 / 2
LCM(318,3520) = 559680
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7758/318, 5135/3520
1. What is the HCF of 7758,5135?
The HCF of 7758,5135 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 7758/318, 5135/3520?
Answer: GCF of Numerators as per given numbers 7758/318, 5135/3520 is
GCF of Numerators i.e. for 7758,5135 is 1
LCM of denominators i.e. for 318,3520 is 559680.
Thus, GCF of Fractions is 1/559680.Finally, GCF of Fractions for 7758/318, 5135/3520 is 1/559680.