GCF of 9343/870, 9235/5460
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9343/870, 9235/5460 i.e 1/158340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9343/870, 9235/5460.
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 9343/870,9235/5460?
Given fractions are 9343/870,9235/5460
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 9343/870,9235/5460, numerators are 9343,9235
Denominators are 870,5460
The GCF of 9343,9235 is 1 .
LCM of 870,5460 is 158340.
The greatest common factor of 9343/870,9235/5460 = [GCF of 9343,9235]/[LCM of 870,5460]= 1/158340
Therefore, the GCF of 9343/870,9235/5460 is 1/158340.
To find the highest common factor of 9343,9235, we have to find the factors of both numbers and list the highest common factor.
The factors of 9343 are 1, 9343
The factors of 9235 are 1, 5, 1847, 9235
The HCF of 9343,9235 is 1.
Lets's calculate GCF of 9343,9235
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9343,9235 By Matching Biggest Common Factor Method
Now, list down the factors of 9343
:1,9343
Now, list down the factors of 9235
:1,5,1847,9235
Greatest Common Factor
We found the factors 9343,9235 . The biggest common factor number is the GCF number.
So the greatest common factor 9343,9235 is 1.
Lets's calculate LCM of 870,5460
| 2 | 870, 5460 |
| 3 | 435, 2730 |
| 5 | 145, 910 |
| 29, 182 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 29 x 182 = 158340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/158340
Therefore, the GCF of Fractions 9343/870,9235/5460 is 1/158340
Least Common Multiple of 870,5460 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 870,5460 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(870,5460) = 30
common factors(in case of two or more numbers have common factors) = 1
GCF(870,5460) x common factors =30 x 1 = 30
LCM(870,5460) = ( 870 × 5460 ) / 30
LCM(870,5460) = 4750200 / 30
LCM(870,5460) = 158340
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FAQs on GCF of Fractions of 9343/870, 9235/5460
1. What is the HCF of 9343,9235?
The HCF of 9343,9235 is 1
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 9343/870, 9235/5460?
Answer: GCF of Numerators as per given numbers 9343/870, 9235/5460 is
GCF of Numerators i.e. for 9343,9235 is 1
LCM of denominators i.e. for 870,5460 is 158340.
Thus, GCF of Fractions is 1/158340.Finally, GCF of Fractions for 9343/870, 9235/5460 is 1/158340.