GCF of 8752/838, 1342/7493
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8752/838, 1342/7493 i.e 2/6279134 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8752/838, 1342/7493.
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 8752/838,1342/7493?
Given fractions are 8752/838,1342/7493
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 8752/838,1342/7493, numerators are 8752,1342
Denominators are 838,7493
The GCF of 8752,1342 is 2 .
LCM of 838,7493 is 6279134.
The greatest common factor of 8752/838,1342/7493 = [GCF of 8752,1342]/[LCM of 838,7493]= 2/6279134
Therefore, the GCF of 8752/838,1342/7493 is 2/6279134.
To find the highest common factor of 8752,1342, we have to find the factors of both numbers and list the highest common factor.
The factors of 8752 are 1, 2, 4, 8, 16, 547, 1094, 2188, 4376, 8752
The factors of 1342 are 1, 2, 11, 22, 61, 122, 671, 1342
The HCF of 8752,1342 is 2.
Lets's calculate GCF of 8752,1342
| 2 | 8752, 1342 |
| 4376, 671 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8752,1342 By Matching Biggest Common Factor Method
Now, list down the factors of 8752
:1,2,4,8,16,547,1094,2188,4376,8752
Now, list down the factors of 1342
:1,2,11,22,61,122,671,1342
Greatest Common Factor
We found the factors 8752,1342 . The biggest common factor number is the GCF number.
So the greatest common factor 8752,1342 is 2.
Lets's calculate LCM of 838,7493
Given numbers has no common factors except 1. So, there LCM is their product i.e 6279134
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6279134
Therefore, the GCF of Fractions 8752/838,1342/7493 is 2/6279134
Least Common Multiple of 838,7493 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 838,7493 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(838,7493) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(838,7493) x common factors =1 x 1 = 1
LCM(838,7493) = ( 838 × 7493 ) / 1
LCM(838,7493) = 6279134 / 1
LCM(838,7493) = 6279134
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8752/838, 1342/7493
1. What is the HCF of 8752,1342?
The HCF of 8752,1342 is 2
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 8752/838, 1342/7493?
Answer: GCF of Numerators as per given numbers 8752/838, 1342/7493 is
GCF of Numerators i.e. for 8752,1342 is 2
LCM of denominators i.e. for 838,7493 is 6279134.
Thus, GCF of Fractions is 2/6279134.Finally, GCF of Fractions for 8752/838, 1342/7493 is 2/6279134.