GCF of 2356/496, 5326/1967
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2356/496, 5326/1967 i.e 2/975632 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2356/496, 5326/1967.
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 2356/496,5326/1967?
Given fractions are 2356/496,5326/1967
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 2356/496,5326/1967, numerators are 2356,5326
Denominators are 496,1967
The GCF of 2356,5326 is 2 .
LCM of 496,1967 is 975632.
The greatest common factor of 2356/496,5326/1967 = [GCF of 2356,5326]/[LCM of 496,1967]= 2/975632
Therefore, the GCF of 2356/496,5326/1967 is 2/975632.
To find the highest common factor of 2356,5326, we have to find the factors of both numbers and list the highest common factor.
The factors of 2356 are 1, 2, 4, 19, 31, 38, 62, 76, 124, 589, 1178, 2356
The factors of 5326 are 1, 2, 2663, 5326
The HCF of 2356,5326 is 2.
Lets's calculate GCF of 2356,5326
| 2 | 2356, 5326 |
| 1178, 2663 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2356,5326 By Matching Biggest Common Factor Method
Now, list down the factors of 2356
:1,2,4,19,31,38,62,76,124,589,1178,2356
Now, list down the factors of 5326
:1,2,2663,5326
Greatest Common Factor
We found the factors 2356,5326 . The biggest common factor number is the GCF number.
So the greatest common factor 2356,5326 is 2.
Lets's calculate LCM of 496,1967
Given numbers has no common factors except 1. So, there LCM is their product i.e 975632
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/975632
Therefore, the GCF of Fractions 2356/496,5326/1967 is 2/975632
Least Common Multiple of 496,1967 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 496,1967 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(496,1967) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(496,1967) x common factors =1 x 1 = 1
LCM(496,1967) = ( 496 × 1967 ) / 1
LCM(496,1967) = 975632 / 1
LCM(496,1967) = 975632
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FAQs on GCF of Fractions of 2356/496, 5326/1967
1. What is the HCF of 2356,5326?
The HCF of 2356,5326 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 2356/496, 5326/1967?
Answer: GCF of Numerators as per given numbers 2356/496, 5326/1967 is
GCF of Numerators i.e. for 2356,5326 is 2
LCM of denominators i.e. for 496,1967 is 975632.
Thus, GCF of Fractions is 2/975632.Finally, GCF of Fractions for 2356/496, 5326/1967 is 2/975632.