GCF of 2536/196, 5831/7924
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2536/196, 5831/7924 i.e 1/55468 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2536/196, 5831/7924.
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 2536/196,5831/7924?
Given fractions are 2536/196,5831/7924
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 2536/196,5831/7924, numerators are 2536,5831
Denominators are 196,7924
The GCF of 2536,5831 is 1 .
LCM of 196,7924 is 55468.
The greatest common factor of 2536/196,5831/7924 = [GCF of 2536,5831]/[LCM of 196,7924]= 1/55468
Therefore, the GCF of 2536/196,5831/7924 is 1/55468.
To find the highest common factor of 2536,5831, we have to find the factors of both numbers and list the highest common factor.
The factors of 2536 are 1, 2, 4, 8, 317, 634, 1268, 2536
The factors of 5831 are 1, 7, 17, 49, 119, 343, 833, 5831
The HCF of 2536,5831 is 1.
Lets's calculate GCF of 2536,5831
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2536,5831 By Matching Biggest Common Factor Method
Now, list down the factors of 2536
:1,2,4,8,317,634,1268,2536
Now, list down the factors of 5831
:1,7,17,49,119,343,833,5831
Greatest Common Factor
We found the factors 2536,5831 . The biggest common factor number is the GCF number.
So the greatest common factor 2536,5831 is 1.
Lets's calculate LCM of 196,7924
| 2 | 196, 7924 |
| 2 | 98, 3962 |
| 7 | 49, 1981 |
| 7, 283 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 7 x 283 = 55468
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55468
Therefore, the GCF of Fractions 2536/196,5831/7924 is 1/55468
Least Common Multiple of 196,7924 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 196,7924 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(196,7924) = 28
common factors(in case of two or more numbers have common factors) = 1
GCF(196,7924) x common factors =28 x 1 = 28
LCM(196,7924) = ( 196 × 7924 ) / 28
LCM(196,7924) = 1553104 / 28
LCM(196,7924) = 55468
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FAQs on GCF of Fractions of 2536/196, 5831/7924
1. What is the HCF of 2536,5831?
The HCF of 2536,5831 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 2536/196, 5831/7924?
Answer: GCF of Numerators as per given numbers 2536/196, 5831/7924 is
GCF of Numerators i.e. for 2536,5831 is 1
LCM of denominators i.e. for 196,7924 is 55468.
Thus, GCF of Fractions is 1/55468.Finally, GCF of Fractions for 2536/196, 5831/7924 is 1/55468.