GCF of 1656/652, 2556/8056
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1656/652, 2556/8056 i.e 36/1313128 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1656/652, 2556/8056.
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 1656/652,2556/8056?
Given fractions are 1656/652,2556/8056
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 1656/652,2556/8056, numerators are 1656,2556
Denominators are 652,8056
The GCF of 1656,2556 is 36 .
LCM of 652,8056 is 1313128.
The greatest common factor of 1656/652,2556/8056 = [GCF of 1656,2556]/[LCM of 652,8056]= 36/1313128
Therefore, the GCF of 1656/652,2556/8056 is 36/1313128.
To find the highest common factor of 1656,2556, we have to find the factors of both numbers and list the highest common factor.
The factors of 1656 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 23, 24, 36, 46, 69, 72, 92, 138, 184, 207, 276, 414, 552, 828, 1656
The factors of 2556 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 71, 142, 213, 284, 426, 639, 852, 1278, 2556
The HCF of 1656,2556 is 36.
Lets's calculate GCF of 1656,2556
| 2 | 1656, 2556 |
| 2 | 828, 1278 |
| 3 | 414, 639 |
| 3 | 138, 213 |
| 46, 71 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36
Greatest Common Factor of 1656,2556 By Matching Biggest Common Factor Method
Now, list down the factors of 1656
:1,2,3,4,6,8,9,12,18,23,24,36,46,69,72,92,138,184,207,276,414,552,828,1656
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
Greatest Common Factor
We found the factors 1656,2556 . The biggest common factor number is the GCF number.
So the greatest common factor 1656,2556 is 36.
Lets's calculate LCM of 652,8056
| 2 | 652, 8056 |
| 2 | 326, 4028 |
| 163, 2014 |
∴ So the LCM of the given numbers is 2 x 2 x 163 x 2014 = 1313128
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 36/1313128
Therefore, the GCF of Fractions 1656/652,2556/8056 is 36/1313128
Least Common Multiple of 652,8056 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 652,8056 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(652,8056) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(652,8056) x common factors =4 x 1 = 4
LCM(652,8056) = ( 652 × 8056 ) / 4
LCM(652,8056) = 5252512 / 4
LCM(652,8056) = 1313128
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FAQs on GCF of Fractions of 1656/652, 2556/8056
1. What is the HCF of 1656,2556?
The HCF of 1656,2556 is 36
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 1656/652, 2556/8056?
Answer: GCF of Numerators as per given numbers 1656/652, 2556/8056 is
GCF of Numerators i.e. for 1656,2556 is 36
LCM of denominators i.e. for 652,8056 is 1313128.
Thus, GCF of Fractions is 36/1313128.Finally, GCF of Fractions for 1656/652, 2556/8056 is 36/1313128.