GCF of 5910/646, 5138/1948
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5910/646, 5138/1948 i.e 2/629204 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5910/646, 5138/1948.
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 5910/646,5138/1948?
Given fractions are 5910/646,5138/1948
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 5910/646,5138/1948, numerators are 5910,5138
Denominators are 646,1948
The GCF of 5910,5138 is 2 .
LCM of 646,1948 is 629204.
The greatest common factor of 5910/646,5138/1948 = [GCF of 5910,5138]/[LCM of 646,1948]= 2/629204
Therefore, the GCF of 5910/646,5138/1948 is 2/629204.
To find the highest common factor of 5910,5138, we have to find the factors of both numbers and list the highest common factor.
The factors of 5910 are 1, 2, 3, 5, 6, 10, 15, 30, 197, 394, 591, 985, 1182, 1970, 2955, 5910
The factors of 5138 are 1, 2, 7, 14, 367, 734, 2569, 5138
The HCF of 5910,5138 is 2.
Lets's calculate GCF of 5910,5138
| 2 | 5910, 5138 |
| 2955, 2569 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5910,5138 By Matching Biggest Common Factor Method
Now, list down the factors of 5910
:1,2,3,5,6,10,15,30,197,394,591,985,1182,1970,2955,5910
Now, list down the factors of 5138
:1,2,7,14,367,734,2569,5138
Greatest Common Factor
We found the factors 5910,5138 . The biggest common factor number is the GCF number.
So the greatest common factor 5910,5138 is 2.
Lets's calculate LCM of 646,1948
| 2 | 646, 1948 |
| 323, 974 |
∴ So the LCM of the given numbers is 2 x 323 x 974 = 629204
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/629204
Therefore, the GCF of Fractions 5910/646,5138/1948 is 2/629204
Least Common Multiple of 646,1948 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 646,1948 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(646,1948) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(646,1948) x common factors =2 x 1 = 2
LCM(646,1948) = ( 646 × 1948 ) / 2
LCM(646,1948) = 1258408 / 2
LCM(646,1948) = 629204
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FAQs on GCF of Fractions of 5910/646, 5138/1948
1. What is the HCF of 5910,5138?
The HCF of 5910,5138 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 5910/646, 5138/1948?
Answer: GCF of Numerators as per given numbers 5910/646, 5138/1948 is
GCF of Numerators i.e. for 5910,5138 is 2
LCM of denominators i.e. for 646,1948 is 629204.
Thus, GCF of Fractions is 2/629204.Finally, GCF of Fractions for 5910/646, 5138/1948 is 2/629204.