GCF of 4970/585, 9625/7704
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4970/585, 9625/7704 i.e 35/500760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4970/585, 9625/7704.
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 4970/585,9625/7704?
Given fractions are 4970/585,9625/7704
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 4970/585,9625/7704, numerators are 4970,9625
Denominators are 585,7704
The GCF of 4970,9625 is 35 .
LCM of 585,7704 is 500760.
The greatest common factor of 4970/585,9625/7704 = [GCF of 4970,9625]/[LCM of 585,7704]= 35/500760
Therefore, the GCF of 4970/585,9625/7704 is 35/500760.
To find the highest common factor of 4970,9625, we have to find the factors of both numbers and list the highest common factor.
The factors of 4970 are 1, 2, 5, 7, 10, 14, 35, 70, 71, 142, 355, 497, 710, 994, 2485, 4970
The factors of 9625 are 1, 5, 7, 11, 25, 35, 55, 77, 125, 175, 275, 385, 875, 1375, 1925, 9625
The HCF of 4970,9625 is 35.
Lets's calculate GCF of 4970,9625
| 5 | 4970, 9625 |
| 7 | 994, 1925 |
| 142, 275 |
∴ So the GCF of the given numbers is 5 x 7 = 35
Greatest Common Factor of 4970,9625 By Matching Biggest Common Factor Method
Now, list down the factors of 4970
:1,2,5,7,10,14,35,70,71,142,355,497,710,994,2485,4970
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 4970,9625 . The biggest common factor number is the GCF number.
So the greatest common factor 4970,9625 is 35.
Lets's calculate LCM of 585,7704
| 3 | 585, 7704 |
| 3 | 195, 2568 |
| 65, 856 |
∴ So the LCM of the given numbers is 3 x 3 x 65 x 856 = 500760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 35/500760
Therefore, the GCF of Fractions 4970/585,9625/7704 is 35/500760
Least Common Multiple of 585,7704 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 585,7704 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(585,7704) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(585,7704) x common factors =9 x 1 = 9
LCM(585,7704) = ( 585 × 7704 ) / 9
LCM(585,7704) = 4506840 / 9
LCM(585,7704) = 500760
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FAQs on GCF of Fractions of 4970/585, 9625/7704
1. What is the HCF of 4970,9625?
The HCF of 4970,9625 is 35
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 4970/585, 9625/7704?
Answer: GCF of Numerators as per given numbers 4970/585, 9625/7704 is
GCF of Numerators i.e. for 4970,9625 is 35
LCM of denominators i.e. for 585,7704 is 500760.
Thus, GCF of Fractions is 35/500760.Finally, GCF of Fractions for 4970/585, 9625/7704 is 35/500760.