GCF of 6142/764, 8094/9642
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6142/764, 8094/9642 i.e 2/3683244 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6142/764, 8094/9642.
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 6142/764,8094/9642?
Given fractions are 6142/764,8094/9642
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 6142/764,8094/9642, numerators are 6142,8094
Denominators are 764,9642
The GCF of 6142,8094 is 2 .
LCM of 764,9642 is 3683244.
The greatest common factor of 6142/764,8094/9642 = [GCF of 6142,8094]/[LCM of 764,9642]= 2/3683244
Therefore, the GCF of 6142/764,8094/9642 is 2/3683244.
To find the highest common factor of 6142,8094, we have to find the factors of both numbers and list the highest common factor.
The factors of 6142 are 1, 2, 37, 74, 83, 166, 3071, 6142
The factors of 8094 are 1, 2, 3, 6, 19, 38, 57, 71, 114, 142, 213, 426, 1349, 2698, 4047, 8094
The HCF of 6142,8094 is 2.
Lets's calculate GCF of 6142,8094
| 2 | 6142, 8094 |
| 3071, 4047 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6142,8094 By Matching Biggest Common Factor Method
Now, list down the factors of 6142
:1,2,37,74,83,166,3071,6142
Now, list down the factors of 8094
:1,2,3,6,19,38,57,71,114,142,213,426,1349,2698,4047,8094
Greatest Common Factor
We found the factors 6142,8094 . The biggest common factor number is the GCF number.
So the greatest common factor 6142,8094 is 2.
Lets's calculate LCM of 764,9642
| 2 | 764, 9642 |
| 382, 4821 |
∴ So the LCM of the given numbers is 2 x 382 x 4821 = 3683244
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3683244
Therefore, the GCF of Fractions 6142/764,8094/9642 is 2/3683244
Least Common Multiple of 764,9642 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 764,9642 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(764,9642) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(764,9642) x common factors =2 x 1 = 2
LCM(764,9642) = ( 764 × 9642 ) / 2
LCM(764,9642) = 7366488 / 2
LCM(764,9642) = 3683244
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FAQs on GCF of Fractions of 6142/764, 8094/9642
1. What is the HCF of 6142,8094?
The HCF of 6142,8094 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 6142/764, 8094/9642?
Answer: GCF of Numerators as per given numbers 6142/764, 8094/9642 is
GCF of Numerators i.e. for 6142,8094 is 2
LCM of denominators i.e. for 764,9642 is 3683244.
Thus, GCF of Fractions is 2/3683244.Finally, GCF of Fractions for 6142/764, 8094/9642 is 2/3683244.