GCF of 7943/526, 4982/472
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7943/526, 4982/472 i.e 47/124136 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7943/526, 4982/472.
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 7943/526,4982/472?
Given fractions are 7943/526,4982/472
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 7943/526,4982/472, numerators are 7943,4982
Denominators are 526,472
The GCF of 7943,4982 is 47 .
LCM of 526,472 is 124136.
The greatest common factor of 7943/526,4982/472 = [GCF of 7943,4982]/[LCM of 526,472]= 47/124136
Therefore, the GCF of 7943/526,4982/472 is 47/124136.
To find the highest common factor of 7943,4982, we have to find the factors of both numbers and list the highest common factor.
The factors of 7943 are 1, 13, 47, 169, 611, 7943
The factors of 4982 are 1, 2, 47, 53, 94, 106, 2491, 4982
The HCF of 7943,4982 is 47.
Lets's calculate GCF of 7943,4982
| 47 | 7943, 4982 |
| 169, 106 |
∴ So the GCF of the given numbers is 47 = 47
Greatest Common Factor of 7943,4982 By Matching Biggest Common Factor Method
Now, list down the factors of 7943
:1,13,47,169,611,7943
Now, list down the factors of 4982
:1,2,47,53,94,106,2491,4982
Greatest Common Factor
We found the factors 7943,4982 . The biggest common factor number is the GCF number.
So the greatest common factor 7943,4982 is 47.
Lets's calculate LCM of 526,472
| 2 | 526, 472 |
| 263, 236 |
∴ So the LCM of the given numbers is 2 x 263 x 236 = 124136
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 47/124136
Therefore, the GCF of Fractions 7943/526,4982/472 is 47/124136
Least Common Multiple of 526,472 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 526,472 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(526,472) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(526,472) x common factors =2 x 1 = 2
LCM(526,472) = ( 526 × 472 ) / 2
LCM(526,472) = 248272 / 2
LCM(526,472) = 124136
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FAQs on GCF of Fractions of 7943/526, 4982/472
1. What is the HCF of 7943,4982?
The HCF of 7943,4982 is 47
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 7943/526, 4982/472?
Answer: GCF of Numerators as per given numbers 7943/526, 4982/472 is
GCF of Numerators i.e. for 7943,4982 is 47
LCM of denominators i.e. for 526,472 is 124136.
Thus, GCF of Fractions is 47/124136.Finally, GCF of Fractions for 7943/526, 4982/472 is 47/124136.