GCF of 7869/946, 7527/442
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7869/946, 7527/442 i.e 3/209066 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7869/946, 7527/442.
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 7869/946,7527/442?
Given fractions are 7869/946,7527/442
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 7869/946,7527/442, numerators are 7869,7527
Denominators are 946,442
The GCF of 7869,7527 is 3 .
LCM of 946,442 is 209066.
The greatest common factor of 7869/946,7527/442 = [GCF of 7869,7527]/[LCM of 946,442]= 3/209066
Therefore, the GCF of 7869/946,7527/442 is 3/209066.
To find the highest common factor of 7869,7527, we have to find the factors of both numbers and list the highest common factor.
The factors of 7869 are 1, 3, 43, 61, 129, 183, 2623, 7869
The factors of 7527 are 1, 3, 13, 39, 193, 579, 2509, 7527
The HCF of 7869,7527 is 3.
Lets's calculate GCF of 7869,7527
| 3 | 7869, 7527 |
| 2623, 2509 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7869,7527 By Matching Biggest Common Factor Method
Now, list down the factors of 7869
:1,3,43,61,129,183,2623,7869
Now, list down the factors of 7527
:1,3,13,39,193,579,2509,7527
Greatest Common Factor
We found the factors 7869,7527 . The biggest common factor number is the GCF number.
So the greatest common factor 7869,7527 is 3.
Lets's calculate LCM of 946,442
| 2 | 946, 442 |
| 473, 221 |
∴ So the LCM of the given numbers is 2 x 473 x 221 = 209066
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/209066
Therefore, the GCF of Fractions 7869/946,7527/442 is 3/209066
Least Common Multiple of 946,442 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 946,442 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(946,442) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(946,442) x common factors =2 x 1 = 2
LCM(946,442) = ( 946 × 442 ) / 2
LCM(946,442) = 418132 / 2
LCM(946,442) = 209066
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FAQs on GCF of Fractions of 7869/946, 7527/442
1. What is the HCF of 7869,7527?
The HCF of 7869,7527 is 3
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 7869/946, 7527/442?
Answer: GCF of Numerators as per given numbers 7869/946, 7527/442 is
GCF of Numerators i.e. for 7869,7527 is 3
LCM of denominators i.e. for 946,442 is 209066.
Thus, GCF of Fractions is 3/209066.Finally, GCF of Fractions for 7869/946, 7527/442 is 3/209066.