GCF of 7128/883, 2970/1708
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7128/883, 2970/1708 i.e 594/1508164 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7128/883, 2970/1708.
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 7128/883,2970/1708?
Given fractions are 7128/883,2970/1708
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 7128/883,2970/1708, numerators are 7128,2970
Denominators are 883,1708
The GCF of 7128,2970 is 594 .
LCM of 883,1708 is 1508164.
The greatest common factor of 7128/883,2970/1708 = [GCF of 7128,2970]/[LCM of 883,1708]= 594/1508164
Therefore, the GCF of 7128/883,2970/1708 is 594/1508164.
To find the highest common factor of 7128,2970, we have to find the factors of both numbers and list the highest common factor.
The factors of 7128 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 27, 33, 36, 44, 54, 66, 72, 81, 88, 99, 108, 132, 162, 198, 216, 264, 297, 324, 396, 594, 648, 792, 891, 1188, 1782, 2376, 3564, 7128
The factors of 2970 are 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 27, 30, 33, 45, 54, 55, 66, 90, 99, 110, 135, 165, 198, 270, 297, 330, 495, 594, 990, 1485, 2970
The HCF of 7128,2970 is 594.
Lets's calculate GCF of 7128,2970
| 2 | 7128, 2970 |
| 3 | 3564, 1485 |
| 3 | 1188, 495 |
| 3 | 396, 165 |
| 11 | 132, 55 |
| 12, 5 |
∴ So the GCF of the given numbers is 2 x 3 x 3 x 3 x 11 = 594
Greatest Common Factor of 7128,2970 By Matching Biggest Common Factor Method
Now, list down the factors of 7128
:1,2,3,4,6,8,9,11,12,18,22,24,27,33,36,44,54,66,72,81,88,99,108,132,162,198,216,264,297,324,396,594,648,792,891,1188,1782,2376,3564,7128
Now, list down the factors of 2970
:1,2,3,5,6,9,10,11,15,18,22,27,30,33,45,54,55,66,90,99,110,135,165,198,270,297,330,495,594,990,1485,2970
Greatest Common Factor
We found the factors 7128,2970 . The biggest common factor number is the GCF number.
So the greatest common factor 7128,2970 is 594.
Lets's calculate LCM of 883,1708
Given numbers has no common factors except 1. So, there LCM is their product i.e 1508164
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 594/1508164
Therefore, the GCF of Fractions 7128/883,2970/1708 is 594/1508164
Least Common Multiple of 883,1708 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 883,1708 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(883,1708) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(883,1708) x common factors =1 x 1 = 1
LCM(883,1708) = ( 883 × 1708 ) / 1
LCM(883,1708) = 1508164 / 1
LCM(883,1708) = 1508164
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FAQs on GCF of Fractions of 7128/883, 2970/1708
1. What is the HCF of 7128,2970?
The HCF of 7128,2970 is 594
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 7128/883, 2970/1708?
Answer: GCF of Numerators as per given numbers 7128/883, 2970/1708 is
GCF of Numerators i.e. for 7128,2970 is 594
LCM of denominators i.e. for 883,1708 is 1508164.
Thus, GCF of Fractions is 594/1508164.Finally, GCF of Fractions for 7128/883, 2970/1708 is 594/1508164.