GCF of 4267/756, 2142/7993
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4267/756, 2142/7993 i.e 17/6042708 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4267/756, 2142/7993.
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 4267/756,2142/7993?
Given fractions are 4267/756,2142/7993
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 4267/756,2142/7993, numerators are 4267,2142
Denominators are 756,7993
The GCF of 4267,2142 is 17 .
LCM of 756,7993 is 6042708.
The greatest common factor of 4267/756,2142/7993 = [GCF of 4267,2142]/[LCM of 756,7993]= 17/6042708
Therefore, the GCF of 4267/756,2142/7993 is 17/6042708.
To find the highest common factor of 4267,2142, we have to find the factors of both numbers and list the highest common factor.
The factors of 4267 are 1, 17, 251, 4267
The factors of 2142 are 1, 2, 3, 6, 7, 9, 14, 17, 18, 21, 34, 42, 51, 63, 102, 119, 126, 153, 238, 306, 357, 714, 1071, 2142
The HCF of 4267,2142 is 17.
Lets's calculate GCF of 4267,2142
| 17 | 4267, 2142 |
| 251, 126 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 4267,2142 By Matching Biggest Common Factor Method
Now, list down the factors of 4267
:1,17,251,4267
Now, list down the factors of 2142
:1,2,3,6,7,9,14,17,18,21,34,42,51,63,102,119,126,153,238,306,357,714,1071,2142
Greatest Common Factor
We found the factors 4267,2142 . The biggest common factor number is the GCF number.
So the greatest common factor 4267,2142 is 17.
Lets's calculate LCM of 756,7993
Given numbers has no common factors except 1. So, there LCM is their product i.e 6042708
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/6042708
Therefore, the GCF of Fractions 4267/756,2142/7993 is 17/6042708
Least Common Multiple of 756,7993 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 756,7993 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(756,7993) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(756,7993) x common factors =1 x 1 = 1
LCM(756,7993) = ( 756 × 7993 ) / 1
LCM(756,7993) = 6042708 / 1
LCM(756,7993) = 6042708
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FAQs on GCF of Fractions of 4267/756, 2142/7993
1. What is the HCF of 4267,2142?
The HCF of 4267,2142 is 17
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 4267/756, 2142/7993?
Answer: GCF of Numerators as per given numbers 4267/756, 2142/7993 is
GCF of Numerators i.e. for 4267,2142 is 17
LCM of denominators i.e. for 756,7993 is 6042708.
Thus, GCF of Fractions is 17/6042708.Finally, GCF of Fractions for 4267/756, 2142/7993 is 17/6042708.