GCF of 7986/938, 5207/9824
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7986/938, 5207/9824 i.e 1/4607456 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7986/938, 5207/9824.
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 7986/938,5207/9824?
Given fractions are 7986/938,5207/9824
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 7986/938,5207/9824, numerators are 7986,5207
Denominators are 938,9824
The GCF of 7986,5207 is 1 .
LCM of 938,9824 is 4607456.
The greatest common factor of 7986/938,5207/9824 = [GCF of 7986,5207]/[LCM of 938,9824]= 1/4607456
Therefore, the GCF of 7986/938,5207/9824 is 1/4607456.
To find the highest common factor of 7986,5207, we have to find the factors of both numbers and list the highest common factor.
The factors of 7986 are 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726, 1331, 2662, 3993, 7986
The factors of 5207 are 1, 41, 127, 5207
The HCF of 7986,5207 is 1.
Lets's calculate GCF of 7986,5207
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7986,5207 By Matching Biggest Common Factor Method
Now, list down the factors of 7986
:1,2,3,6,11,22,33,66,121,242,363,726,1331,2662,3993,7986
Now, list down the factors of 5207
:1,41,127,5207
Greatest Common Factor
We found the factors 7986,5207 . The biggest common factor number is the GCF number.
So the greatest common factor 7986,5207 is 1.
Lets's calculate LCM of 938,9824
| 2 | 938, 9824 |
| 469, 4912 |
∴ So the LCM of the given numbers is 2 x 469 x 4912 = 4607456
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4607456
Therefore, the GCF of Fractions 7986/938,5207/9824 is 1/4607456
Least Common Multiple of 938,9824 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 938,9824 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(938,9824) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(938,9824) x common factors =2 x 1 = 2
LCM(938,9824) = ( 938 × 9824 ) / 2
LCM(938,9824) = 9214912 / 2
LCM(938,9824) = 4607456
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FAQs on GCF of Fractions of 7986/938, 5207/9824
1. What is the HCF of 7986,5207?
The HCF of 7986,5207 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 7986/938, 5207/9824?
Answer: GCF of Numerators as per given numbers 7986/938, 5207/9824 is
GCF of Numerators i.e. for 7986,5207 is 1
LCM of denominators i.e. for 938,9824 is 4607456.
Thus, GCF of Fractions is 1/4607456.Finally, GCF of Fractions for 7986/938, 5207/9824 is 1/4607456.