GCF of 2118/918, 9244/5126
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2118/918, 9244/5126 i.e 2/2352834 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2118/918, 9244/5126.
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 2118/918,9244/5126?
Given fractions are 2118/918,9244/5126
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 2118/918,9244/5126, numerators are 2118,9244
Denominators are 918,5126
The GCF of 2118,9244 is 2 .
LCM of 918,5126 is 2352834.
The greatest common factor of 2118/918,9244/5126 = [GCF of 2118,9244]/[LCM of 918,5126]= 2/2352834
Therefore, the GCF of 2118/918,9244/5126 is 2/2352834.
To find the highest common factor of 2118,9244, we have to find the factors of both numbers and list the highest common factor.
The factors of 2118 are 1, 2, 3, 6, 353, 706, 1059, 2118
The factors of 9244 are 1, 2, 4, 2311, 4622, 9244
The HCF of 2118,9244 is 2.
Lets's calculate GCF of 2118,9244
| 2 | 2118, 9244 |
| 1059, 4622 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2118,9244 By Matching Biggest Common Factor Method
Now, list down the factors of 2118
:1,2,3,6,353,706,1059,2118
Now, list down the factors of 9244
:1,2,4,2311,4622,9244
Greatest Common Factor
We found the factors 2118,9244 . The biggest common factor number is the GCF number.
So the greatest common factor 2118,9244 is 2.
Lets's calculate LCM of 918,5126
| 2 | 918, 5126 |
| 459, 2563 |
∴ So the LCM of the given numbers is 2 x 459 x 2563 = 2352834
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2352834
Therefore, the GCF of Fractions 2118/918,9244/5126 is 2/2352834
Least Common Multiple of 918,5126 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 918,5126 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(918,5126) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(918,5126) x common factors =2 x 1 = 2
LCM(918,5126) = ( 918 × 5126 ) / 2
LCM(918,5126) = 4705668 / 2
LCM(918,5126) = 2352834
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FAQs on GCF of Fractions of 2118/918, 9244/5126
1. What is the HCF of 2118,9244?
The HCF of 2118,9244 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 2118/918, 9244/5126?
Answer: GCF of Numerators as per given numbers 2118/918, 9244/5126 is
GCF of Numerators i.e. for 2118,9244 is 2
LCM of denominators i.e. for 918,5126 is 2352834.
Thus, GCF of Fractions is 2/2352834.Finally, GCF of Fractions for 2118/918, 9244/5126 is 2/2352834.