GCF of 2118/988, 6946/540
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2118/988, 6946/540 i.e 2/133380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2118/988, 6946/540.
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 2118/988,6946/540?
Given fractions are 2118/988,6946/540
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 2118/988,6946/540, numerators are 2118,6946
Denominators are 988,540
The GCF of 2118,6946 is 2 .
LCM of 988,540 is 133380.
The greatest common factor of 2118/988,6946/540 = [GCF of 2118,6946]/[LCM of 988,540]= 2/133380
Therefore, the GCF of 2118/988,6946/540 is 2/133380.
To find the highest common factor of 2118,6946, 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 6946 are 1, 2, 23, 46, 151, 302, 3473, 6946
The HCF of 2118,6946 is 2.
Lets's calculate GCF of 2118,6946
| 2 | 2118, 6946 |
| 1059, 3473 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2118,6946 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 6946
:1,2,23,46,151,302,3473,6946
Greatest Common Factor
We found the factors 2118,6946 . The biggest common factor number is the GCF number.
So the greatest common factor 2118,6946 is 2.
Lets's calculate LCM of 988,540
| 2 | 988, 540 |
| 2 | 494, 270 |
| 247, 135 |
∴ So the LCM of the given numbers is 2 x 2 x 247 x 135 = 133380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/133380
Therefore, the GCF of Fractions 2118/988,6946/540 is 2/133380
Least Common Multiple of 988,540 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 988,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(988,540) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(988,540) x common factors =4 x 1 = 4
LCM(988,540) = ( 988 × 540 ) / 4
LCM(988,540) = 533520 / 4
LCM(988,540) = 133380
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FAQs on GCF of Fractions of 2118/988, 6946/540
1. What is the HCF of 2118,6946?
The HCF of 2118,6946 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 2118/988, 6946/540?
Answer: GCF of Numerators as per given numbers 2118/988, 6946/540 is
GCF of Numerators i.e. for 2118,6946 is 2
LCM of denominators i.e. for 988,540 is 133380.
Thus, GCF of Fractions is 2/133380.Finally, GCF of Fractions for 2118/988, 6946/540 is 2/133380.