GCF of 3150/502, 8630/9758
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3150/502, 8630/9758 i.e 10/2449258 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3150/502, 8630/9758.
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 3150/502,8630/9758?
Given fractions are 3150/502,8630/9758
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 3150/502,8630/9758, numerators are 3150,8630
Denominators are 502,9758
The GCF of 3150,8630 is 10 .
LCM of 502,9758 is 2449258.
The greatest common factor of 3150/502,8630/9758 = [GCF of 3150,8630]/[LCM of 502,9758]= 10/2449258
Therefore, the GCF of 3150/502,8630/9758 is 10/2449258.
To find the highest common factor of 3150,8630, we have to find the factors of both numbers and list the highest common factor.
The factors of 3150 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 25, 30, 35, 42, 45, 50, 63, 70, 75, 90, 105, 126, 150, 175, 210, 225, 315, 350, 450, 525, 630, 1050, 1575, 3150
The factors of 8630 are 1, 2, 5, 10, 863, 1726, 4315, 8630
The HCF of 3150,8630 is 10.
Lets's calculate GCF of 3150,8630
| 2 | 3150, 8630 |
| 5 | 1575, 4315 |
| 315, 863 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 3150,8630 By Matching Biggest Common Factor Method
Now, list down the factors of 3150
:1,2,3,5,6,7,9,10,14,15,18,21,25,30,35,42,45,50,63,70,75,90,105,126,150,175,210,225,315,350,450,525,630,1050,1575,3150
Now, list down the factors of 8630
:1,2,5,10,863,1726,4315,8630
Greatest Common Factor
We found the factors 3150,8630 . The biggest common factor number is the GCF number.
So the greatest common factor 3150,8630 is 10.
Lets's calculate LCM of 502,9758
| 2 | 502, 9758 |
| 251, 4879 |
∴ So the LCM of the given numbers is 2 x 251 x 4879 = 2449258
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/2449258
Therefore, the GCF of Fractions 3150/502,8630/9758 is 10/2449258
Least Common Multiple of 502,9758 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 502,9758 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(502,9758) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(502,9758) x common factors =2 x 1 = 2
LCM(502,9758) = ( 502 × 9758 ) / 2
LCM(502,9758) = 4898516 / 2
LCM(502,9758) = 2449258
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FAQs on GCF of Fractions of 3150/502, 8630/9758
1. What is the HCF of 3150,8630?
The HCF of 3150,8630 is 10
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 3150/502, 8630/9758?
Answer: GCF of Numerators as per given numbers 3150/502, 8630/9758 is
GCF of Numerators i.e. for 3150,8630 is 10
LCM of denominators i.e. for 502,9758 is 2449258.
Thus, GCF of Fractions is 10/2449258.Finally, GCF of Fractions for 3150/502, 8630/9758 is 10/2449258.