GCF of 1278/774, 9372/9986
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1278/774, 9372/9986 i.e 426/3864582 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1278/774, 9372/9986.
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 1278/774,9372/9986?
Given fractions are 1278/774,9372/9986
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 1278/774,9372/9986, numerators are 1278,9372
Denominators are 774,9986
The GCF of 1278,9372 is 426 .
LCM of 774,9986 is 3864582.
The greatest common factor of 1278/774,9372/9986 = [GCF of 1278,9372]/[LCM of 774,9986]= 426/3864582
Therefore, the GCF of 1278/774,9372/9986 is 426/3864582.
To find the highest common factor of 1278,9372, we have to find the factors of both numbers and list the highest common factor.
The factors of 1278 are 1, 2, 3, 6, 9, 18, 71, 142, 213, 426, 639, 1278
The factors of 9372 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 71, 132, 142, 213, 284, 426, 781, 852, 1562, 2343, 3124, 4686, 9372
The HCF of 1278,9372 is 426.
Lets's calculate GCF of 1278,9372
| 2 | 1278, 9372 |
| 3 | 639, 4686 |
| 71 | 213, 1562 |
| 3, 22 |
∴ So the GCF of the given numbers is 2 x 3 x 71 = 426
Greatest Common Factor of 1278,9372 By Matching Biggest Common Factor Method
Now, list down the factors of 1278
:1,2,3,6,9,18,71,142,213,426,639,1278
Now, list down the factors of 9372
:1,2,3,4,6,11,12,22,33,44,66,71,132,142,213,284,426,781,852,1562,2343,3124,4686,9372
Greatest Common Factor
We found the factors 1278,9372 . The biggest common factor number is the GCF number.
So the greatest common factor 1278,9372 is 426.
Lets's calculate LCM of 774,9986
| 2 | 774, 9986 |
| 387, 4993 |
∴ So the LCM of the given numbers is 2 x 387 x 4993 = 3864582
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 426/3864582
Therefore, the GCF of Fractions 1278/774,9372/9986 is 426/3864582
Least Common Multiple of 774,9986 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 774,9986 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(774,9986) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(774,9986) x common factors =2 x 1 = 2
LCM(774,9986) = ( 774 × 9986 ) / 2
LCM(774,9986) = 7729164 / 2
LCM(774,9986) = 3864582
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FAQs on GCF of Fractions of 1278/774, 9372/9986
1. What is the HCF of 1278,9372?
The HCF of 1278,9372 is 426
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 1278/774, 9372/9986?
Answer: GCF of Numerators as per given numbers 1278/774, 9372/9986 is
GCF of Numerators i.e. for 1278,9372 is 426
LCM of denominators i.e. for 774,9986 is 3864582.
Thus, GCF of Fractions is 426/3864582.Finally, GCF of Fractions for 1278/774, 9372/9986 is 426/3864582.