GCF of 5768/642, 9625/9630
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5768/642, 9625/9630 i.e 7/9630 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5768/642, 9625/9630.
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 5768/642,9625/9630?
Given fractions are 5768/642,9625/9630
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 5768/642,9625/9630, numerators are 5768,9625
Denominators are 642,9630
The GCF of 5768,9625 is 7 .
LCM of 642,9630 is 9630.
The greatest common factor of 5768/642,9625/9630 = [GCF of 5768,9625]/[LCM of 642,9630]= 7/9630
Therefore, the GCF of 5768/642,9625/9630 is 7/9630.
To find the highest common factor of 5768,9625, we have to find the factors of both numbers and list the highest common factor.
The factors of 5768 are 1, 2, 4, 7, 8, 14, 28, 56, 103, 206, 412, 721, 824, 1442, 2884, 5768
The factors of 9625 are 1, 5, 7, 11, 25, 35, 55, 77, 125, 175, 275, 385, 875, 1375, 1925, 9625
The HCF of 5768,9625 is 7.
Lets's calculate GCF of 5768,9625
| 7 | 5768, 9625 |
| 824, 1375 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 5768,9625 By Matching Biggest Common Factor Method
Now, list down the factors of 5768
:1,2,4,7,8,14,28,56,103,206,412,721,824,1442,2884,5768
Now, list down the factors of 9625
:1,5,7,11,25,35,55,77,125,175,275,385,875,1375,1925,9625
Greatest Common Factor
We found the factors 5768,9625 . The biggest common factor number is the GCF number.
So the greatest common factor 5768,9625 is 7.
Lets's calculate LCM of 642,9630
| 2 | 642, 9630 |
| 3 | 321, 4815 |
| 107 | 107, 1605 |
| 1, 15 |
∴ So the LCM of the given numbers is 2 x 3 x 107 x 1 x 15 = 9630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/9630
Therefore, the GCF of Fractions 5768/642,9625/9630 is 7/9630
Least Common Multiple of 642,9630 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 642,9630 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(642,9630) = 642
common factors(in case of two or more numbers have common factors) = 1
GCF(642,9630) x common factors =642 x 1 = 642
LCM(642,9630) = ( 642 × 9630 ) / 642
LCM(642,9630) = 6182460 / 642
LCM(642,9630) = 9630
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FAQs on GCF of Fractions of 5768/642, 9625/9630
1. What is the HCF of 5768,9625?
The HCF of 5768,9625 is 7
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 5768/642, 9625/9630?
Answer: GCF of Numerators as per given numbers 5768/642, 9625/9630 is
GCF of Numerators i.e. for 5768,9625 is 7
LCM of denominators i.e. for 642,9630 is 9630.
Thus, GCF of Fractions is 7/9630.Finally, GCF of Fractions for 5768/642, 9625/9630 is 7/9630.