GCF of 6258/542, 7890/7042
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6258/542, 7890/7042 i.e 6/1908382 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6258/542, 7890/7042.
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 6258/542,7890/7042?
Given fractions are 6258/542,7890/7042
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 6258/542,7890/7042, numerators are 6258,7890
Denominators are 542,7042
The GCF of 6258,7890 is 6 .
LCM of 542,7042 is 1908382.
The greatest common factor of 6258/542,7890/7042 = [GCF of 6258,7890]/[LCM of 542,7042]= 6/1908382
Therefore, the GCF of 6258/542,7890/7042 is 6/1908382.
To find the highest common factor of 6258,7890, we have to find the factors of both numbers and list the highest common factor.
The factors of 6258 are 1, 2, 3, 6, 7, 14, 21, 42, 149, 298, 447, 894, 1043, 2086, 3129, 6258
The factors of 7890 are 1, 2, 3, 5, 6, 10, 15, 30, 263, 526, 789, 1315, 1578, 2630, 3945, 7890
The HCF of 6258,7890 is 6.
Lets's calculate GCF of 6258,7890
| 2 | 6258, 7890 |
| 3 | 3129, 3945 |
| 1043, 1315 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 6258,7890 By Matching Biggest Common Factor Method
Now, list down the factors of 6258
:1,2,3,6,7,14,21,42,149,298,447,894,1043,2086,3129,6258
Now, list down the factors of 7890
:1,2,3,5,6,10,15,30,263,526,789,1315,1578,2630,3945,7890
Greatest Common Factor
We found the factors 6258,7890 . The biggest common factor number is the GCF number.
So the greatest common factor 6258,7890 is 6.
Lets's calculate LCM of 542,7042
| 2 | 542, 7042 |
| 271, 3521 |
∴ So the LCM of the given numbers is 2 x 271 x 3521 = 1908382
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1908382
Therefore, the GCF of Fractions 6258/542,7890/7042 is 6/1908382
Least Common Multiple of 542,7042 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 542,7042 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(542,7042) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(542,7042) x common factors =2 x 1 = 2
LCM(542,7042) = ( 542 × 7042 ) / 2
LCM(542,7042) = 3816764 / 2
LCM(542,7042) = 1908382
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FAQs on GCF of Fractions of 6258/542, 7890/7042
1. What is the HCF of 6258,7890?
The HCF of 6258,7890 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 6258/542, 7890/7042?
Answer: GCF of Numerators as per given numbers 6258/542, 7890/7042 is
GCF of Numerators i.e. for 6258,7890 is 6
LCM of denominators i.e. for 542,7042 is 1908382.
Thus, GCF of Fractions is 6/1908382.Finally, GCF of Fractions for 6258/542, 7890/7042 is 6/1908382.