GCF of 5397/986, 2610/8052
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5397/986, 2610/8052 i.e 3/3969636 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5397/986, 2610/8052.
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 5397/986,2610/8052?
Given fractions are 5397/986,2610/8052
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 5397/986,2610/8052, numerators are 5397,2610
Denominators are 986,8052
The GCF of 5397,2610 is 3 .
LCM of 986,8052 is 3969636.
The greatest common factor of 5397/986,2610/8052 = [GCF of 5397,2610]/[LCM of 986,8052]= 3/3969636
Therefore, the GCF of 5397/986,2610/8052 is 3/3969636.
To find the highest common factor of 5397,2610, we have to find the factors of both numbers and list the highest common factor.
The factors of 5397 are 1, 3, 7, 21, 257, 771, 1799, 5397
The factors of 2610 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 29, 30, 45, 58, 87, 90, 145, 174, 261, 290, 435, 522, 870, 1305, 2610
The HCF of 5397,2610 is 3.
Lets's calculate GCF of 5397,2610
| 3 | 5397, 2610 |
| 1799, 870 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5397,2610 By Matching Biggest Common Factor Method
Now, list down the factors of 5397
:1,3,7,21,257,771,1799,5397
Now, list down the factors of 2610
:1,2,3,5,6,9,10,15,18,29,30,45,58,87,90,145,174,261,290,435,522,870,1305,2610
Greatest Common Factor
We found the factors 5397,2610 . The biggest common factor number is the GCF number.
So the greatest common factor 5397,2610 is 3.
Lets's calculate LCM of 986,8052
| 2 | 986, 8052 |
| 493, 4026 |
∴ So the LCM of the given numbers is 2 x 493 x 4026 = 3969636
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3969636
Therefore, the GCF of Fractions 5397/986,2610/8052 is 3/3969636
Least Common Multiple of 986,8052 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 986,8052 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(986,8052) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(986,8052) x common factors =2 x 1 = 2
LCM(986,8052) = ( 986 × 8052 ) / 2
LCM(986,8052) = 7939272 / 2
LCM(986,8052) = 3969636
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FAQs on GCF of Fractions of 5397/986, 2610/8052
1. What is the HCF of 5397,2610?
The HCF of 5397,2610 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 5397/986, 2610/8052?
Answer: GCF of Numerators as per given numbers 5397/986, 2610/8052 is
GCF of Numerators i.e. for 5397,2610 is 3
LCM of denominators i.e. for 986,8052 is 3969636.
Thus, GCF of Fractions is 3/3969636.Finally, GCF of Fractions for 5397/986, 2610/8052 is 3/3969636.