GCF of 6286/790, 6188/967
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6286/790, 6188/967 i.e 14/763930 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6286/790, 6188/967.
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 6286/790,6188/967?
Given fractions are 6286/790,6188/967
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 6286/790,6188/967, numerators are 6286,6188
Denominators are 790,967
The GCF of 6286,6188 is 14 .
LCM of 790,967 is 763930.
The greatest common factor of 6286/790,6188/967 = [GCF of 6286,6188]/[LCM of 790,967]= 14/763930
Therefore, the GCF of 6286/790,6188/967 is 14/763930.
To find the highest common factor of 6286,6188, we have to find the factors of both numbers and list the highest common factor.
The factors of 6286 are 1, 2, 7, 14, 449, 898, 3143, 6286
The factors of 6188 are 1, 2, 4, 7, 13, 14, 17, 26, 28, 34, 52, 68, 91, 119, 182, 221, 238, 364, 442, 476, 884, 1547, 3094, 6188
The HCF of 6286,6188 is 14.
Lets's calculate GCF of 6286,6188
| 2 | 6286, 6188 |
| 7 | 3143, 3094 |
| 449, 442 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 6286,6188 By Matching Biggest Common Factor Method
Now, list down the factors of 6286
:1,2,7,14,449,898,3143,6286
Now, list down the factors of 6188
:1,2,4,7,13,14,17,26,28,34,52,68,91,119,182,221,238,364,442,476,884,1547,3094,6188
Greatest Common Factor
We found the factors 6286,6188 . The biggest common factor number is the GCF number.
So the greatest common factor 6286,6188 is 14.
Lets's calculate LCM of 790,967
Given numbers has no common factors except 1. So, there LCM is their product i.e 763930
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/763930
Therefore, the GCF of Fractions 6286/790,6188/967 is 14/763930
Least Common Multiple of 790,967 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 790,967 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(790,967) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(790,967) x common factors =1 x 1 = 1
LCM(790,967) = ( 790 × 967 ) / 1
LCM(790,967) = 763930 / 1
LCM(790,967) = 763930
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FAQs on GCF of Fractions of 6286/790, 6188/967
1. What is the HCF of 6286,6188?
The HCF of 6286,6188 is 14
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 6286/790, 6188/967?
Answer: GCF of Numerators as per given numbers 6286/790, 6188/967 is
GCF of Numerators i.e. for 6286,6188 is 14
LCM of denominators i.e. for 790,967 is 763930.
Thus, GCF of Fractions is 14/763930.Finally, GCF of Fractions for 6286/790, 6188/967 is 14/763930.