GCF of 2574/988, 6342/5204
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2574/988, 6342/5204 i.e 6/1285388 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2574/988, 6342/5204.
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 2574/988,6342/5204?
Given fractions are 2574/988,6342/5204
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 2574/988,6342/5204, numerators are 2574,6342
Denominators are 988,5204
The GCF of 2574,6342 is 6 .
LCM of 988,5204 is 1285388.
The greatest common factor of 2574/988,6342/5204 = [GCF of 2574,6342]/[LCM of 988,5204]= 6/1285388
Therefore, the GCF of 2574/988,6342/5204 is 6/1285388.
To find the highest common factor of 2574,6342, we have to find the factors of both numbers and list the highest common factor.
The factors of 2574 are 1, 2, 3, 6, 9, 11, 13, 18, 22, 26, 33, 39, 66, 78, 99, 117, 143, 198, 234, 286, 429, 858, 1287, 2574
The factors of 6342 are 1, 2, 3, 6, 7, 14, 21, 42, 151, 302, 453, 906, 1057, 2114, 3171, 6342
The HCF of 2574,6342 is 6.
Lets's calculate GCF of 2574,6342
| 2 | 2574, 6342 |
| 3 | 1287, 3171 |
| 429, 1057 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 2574,6342 By Matching Biggest Common Factor Method
Now, list down the factors of 2574
:1,2,3,6,9,11,13,18,22,26,33,39,66,78,99,117,143,198,234,286,429,858,1287,2574
Now, list down the factors of 6342
:1,2,3,6,7,14,21,42,151,302,453,906,1057,2114,3171,6342
Greatest Common Factor
We found the factors 2574,6342 . The biggest common factor number is the GCF number.
So the greatest common factor 2574,6342 is 6.
Lets's calculate LCM of 988,5204
| 2 | 988, 5204 |
| 2 | 494, 2602 |
| 247, 1301 |
∴ So the LCM of the given numbers is 2 x 2 x 247 x 1301 = 1285388
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1285388
Therefore, the GCF of Fractions 2574/988,6342/5204 is 6/1285388
Least Common Multiple of 988,5204 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 988,5204 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(988,5204) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(988,5204) x common factors =4 x 1 = 4
LCM(988,5204) = ( 988 × 5204 ) / 4
LCM(988,5204) = 5141552 / 4
LCM(988,5204) = 1285388
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FAQs on GCF of Fractions of 2574/988, 6342/5204
1. What is the HCF of 2574,6342?
The HCF of 2574,6342 is 6
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 2574/988, 6342/5204?
Answer: GCF of Numerators as per given numbers 2574/988, 6342/5204 is
GCF of Numerators i.e. for 2574,6342 is 6
LCM of denominators i.e. for 988,5204 is 1285388.
Thus, GCF of Fractions is 6/1285388.Finally, GCF of Fractions for 2574/988, 6342/5204 is 6/1285388.