GCF of 8520/790, 9470/6525
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8520/790, 9470/6525 i.e 10/1030950 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8520/790, 9470/6525.
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 8520/790,9470/6525?
Given fractions are 8520/790,9470/6525
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 8520/790,9470/6525, numerators are 8520,9470
Denominators are 790,6525
The GCF of 8520,9470 is 10 .
LCM of 790,6525 is 1030950.
The greatest common factor of 8520/790,9470/6525 = [GCF of 8520,9470]/[LCM of 790,6525]= 10/1030950
Therefore, the GCF of 8520/790,9470/6525 is 10/1030950.
To find the highest common factor of 8520,9470, we have to find the factors of both numbers and list the highest common factor.
The factors of 8520 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 71, 120, 142, 213, 284, 355, 426, 568, 710, 852, 1065, 1420, 1704, 2130, 2840, 4260, 8520
The factors of 9470 are 1, 2, 5, 10, 947, 1894, 4735, 9470
The HCF of 8520,9470 is 10.
Lets's calculate GCF of 8520,9470
| 2 | 8520, 9470 |
| 5 | 4260, 4735 |
| 852, 947 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 8520,9470 By Matching Biggest Common Factor Method
Now, list down the factors of 8520
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,71,120,142,213,284,355,426,568,710,852,1065,1420,1704,2130,2840,4260,8520
Now, list down the factors of 9470
:1,2,5,10,947,1894,4735,9470
Greatest Common Factor
We found the factors 8520,9470 . The biggest common factor number is the GCF number.
So the greatest common factor 8520,9470 is 10.
Lets's calculate LCM of 790,6525
| 5 | 790, 6525 |
| 158, 1305 |
∴ So the LCM of the given numbers is 5 x 158 x 1305 = 1030950
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/1030950
Therefore, the GCF of Fractions 8520/790,9470/6525 is 10/1030950
Least Common Multiple of 790,6525 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 790,6525 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(790,6525) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(790,6525) x common factors =5 x 1 = 5
LCM(790,6525) = ( 790 × 6525 ) / 5
LCM(790,6525) = 5154750 / 5
LCM(790,6525) = 1030950
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FAQs on GCF of Fractions of 8520/790, 9470/6525
1. What is the HCF of 8520,9470?
The HCF of 8520,9470 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 8520/790, 9470/6525?
Answer: GCF of Numerators as per given numbers 8520/790, 9470/6525 is
GCF of Numerators i.e. for 8520,9470 is 10
LCM of denominators i.e. for 790,6525 is 1030950.
Thus, GCF of Fractions is 10/1030950.Finally, GCF of Fractions for 8520/790, 9470/6525 is 10/1030950.