GCF of 2556/102, 9405/7010
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2556/102, 9405/7010 i.e 9/357510 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2556/102, 9405/7010.
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 2556/102,9405/7010?
Given fractions are 2556/102,9405/7010
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 2556/102,9405/7010, numerators are 2556,9405
Denominators are 102,7010
The GCF of 2556,9405 is 9 .
LCM of 102,7010 is 357510.
The greatest common factor of 2556/102,9405/7010 = [GCF of 2556,9405]/[LCM of 102,7010]= 9/357510
Therefore, the GCF of 2556/102,9405/7010 is 9/357510.
To find the highest common factor of 2556,9405, we have to find the factors of both numbers and list the highest common factor.
The factors of 2556 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 71, 142, 213, 284, 426, 639, 852, 1278, 2556
The factors of 9405 are 1, 3, 5, 9, 11, 15, 19, 33, 45, 55, 57, 95, 99, 165, 171, 209, 285, 495, 627, 855, 1045, 1881, 3135, 9405
The HCF of 2556,9405 is 9.
Lets's calculate GCF of 2556,9405
| 3 | 2556, 9405 |
| 3 | 852, 3135 |
| 284, 1045 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 2556,9405 By Matching Biggest Common Factor Method
Now, list down the factors of 2556
:1,2,3,4,6,9,12,18,36,71,142,213,284,426,639,852,1278,2556
Now, list down the factors of 9405
:1,3,5,9,11,15,19,33,45,55,57,95,99,165,171,209,285,495,627,855,1045,1881,3135,9405
Greatest Common Factor
We found the factors 2556,9405 . The biggest common factor number is the GCF number.
So the greatest common factor 2556,9405 is 9.
Lets's calculate LCM of 102,7010
| 2 | 102, 7010 |
| 51, 3505 |
∴ So the LCM of the given numbers is 2 x 51 x 3505 = 357510
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/357510
Therefore, the GCF of Fractions 2556/102,9405/7010 is 9/357510
Least Common Multiple of 102,7010 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 102,7010 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(102,7010) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(102,7010) x common factors =2 x 1 = 2
LCM(102,7010) = ( 102 × 7010 ) / 2
LCM(102,7010) = 715020 / 2
LCM(102,7010) = 357510
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2556/102, 9405/7010
1. What is the HCF of 2556,9405?
The HCF of 2556,9405 is 9
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 2556/102, 9405/7010?
Answer: GCF of Numerators as per given numbers 2556/102, 9405/7010 is
GCF of Numerators i.e. for 2556,9405 is 9
LCM of denominators i.e. for 102,7010 is 357510.
Thus, GCF of Fractions is 9/357510.Finally, GCF of Fractions for 2556/102, 9405/7010 is 9/357510.