GCF of 5702/936, 1458/4953
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5702/936, 1458/4953 i.e 2/118872 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5702/936, 1458/4953.
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 5702/936,1458/4953?
Given fractions are 5702/936,1458/4953
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 5702/936,1458/4953, numerators are 5702,1458
Denominators are 936,4953
The GCF of 5702,1458 is 2 .
LCM of 936,4953 is 118872.
The greatest common factor of 5702/936,1458/4953 = [GCF of 5702,1458]/[LCM of 936,4953]= 2/118872
Therefore, the GCF of 5702/936,1458/4953 is 2/118872.
To find the highest common factor of 5702,1458, we have to find the factors of both numbers and list the highest common factor.
The factors of 5702 are 1, 2, 2851, 5702
The factors of 1458 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486, 729, 1458
The HCF of 5702,1458 is 2.
Lets's calculate GCF of 5702,1458
| 2 | 5702, 1458 |
| 2851, 729 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5702,1458 By Matching Biggest Common Factor Method
Now, list down the factors of 5702
:1,2,2851,5702
Now, list down the factors of 1458
:1,2,3,6,9,18,27,54,81,162,243,486,729,1458
Greatest Common Factor
We found the factors 5702,1458 . The biggest common factor number is the GCF number.
So the greatest common factor 5702,1458 is 2.
Lets's calculate LCM of 936,4953
| 3 | 936, 4953 |
| 13 | 312, 1651 |
| 24, 127 |
∴ So the LCM of the given numbers is 3 x 13 x 24 x 127 = 118872
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/118872
Therefore, the GCF of Fractions 5702/936,1458/4953 is 2/118872
Least Common Multiple of 936,4953 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 936,4953 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(936,4953) = 39
common factors(in case of two or more numbers have common factors) = 1
GCF(936,4953) x common factors =39 x 1 = 39
LCM(936,4953) = ( 936 × 4953 ) / 39
LCM(936,4953) = 4636008 / 39
LCM(936,4953) = 118872
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FAQs on GCF of Fractions of 5702/936, 1458/4953
1. What is the HCF of 5702,1458?
The HCF of 5702,1458 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 5702/936, 1458/4953?
Answer: GCF of Numerators as per given numbers 5702/936, 1458/4953 is
GCF of Numerators i.e. for 5702,1458 is 2
LCM of denominators i.e. for 936,4953 is 118872.
Thus, GCF of Fractions is 2/118872.Finally, GCF of Fractions for 5702/936, 1458/4953 is 2/118872.