GCF of 9370/418, 8370/7354
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9370/418, 8370/7354 i.e 10/1536986 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9370/418, 8370/7354.
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 9370/418,8370/7354?
Given fractions are 9370/418,8370/7354
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 9370/418,8370/7354, numerators are 9370,8370
Denominators are 418,7354
The GCF of 9370,8370 is 10 .
LCM of 418,7354 is 1536986.
The greatest common factor of 9370/418,8370/7354 = [GCF of 9370,8370]/[LCM of 418,7354]= 10/1536986
Therefore, the GCF of 9370/418,8370/7354 is 10/1536986.
To find the highest common factor of 9370,8370, we have to find the factors of both numbers and list the highest common factor.
The factors of 9370 are 1, 2, 5, 10, 937, 1874, 4685, 9370
The factors of 8370 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 31, 45, 54, 62, 90, 93, 135, 155, 186, 270, 279, 310, 465, 558, 837, 930, 1395, 1674, 2790, 4185, 8370
The HCF of 9370,8370 is 10.
Lets's calculate GCF of 9370,8370
| 2 | 9370, 8370 |
| 5 | 4685, 4185 |
| 937, 837 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 9370,8370 By Matching Biggest Common Factor Method
Now, list down the factors of 9370
:1,2,5,10,937,1874,4685,9370
Now, list down the factors of 8370
:1,2,3,5,6,9,10,15,18,27,30,31,45,54,62,90,93,135,155,186,270,279,310,465,558,837,930,1395,1674,2790,4185,8370
Greatest Common Factor
We found the factors 9370,8370 . The biggest common factor number is the GCF number.
So the greatest common factor 9370,8370 is 10.
Lets's calculate LCM of 418,7354
| 2 | 418, 7354 |
| 209, 3677 |
∴ So the LCM of the given numbers is 2 x 209 x 3677 = 1536986
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/1536986
Therefore, the GCF of Fractions 9370/418,8370/7354 is 10/1536986
Least Common Multiple of 418,7354 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 418,7354 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(418,7354) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(418,7354) x common factors =2 x 1 = 2
LCM(418,7354) = ( 418 × 7354 ) / 2
LCM(418,7354) = 3073972 / 2
LCM(418,7354) = 1536986
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9370/418, 8370/7354
1. What is the HCF of 9370,8370?
The HCF of 9370,8370 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 9370/418, 8370/7354?
Answer: GCF of Numerators as per given numbers 9370/418, 8370/7354 is
GCF of Numerators i.e. for 9370,8370 is 10
LCM of denominators i.e. for 418,7354 is 1536986.
Thus, GCF of Fractions is 10/1536986.Finally, GCF of Fractions for 9370/418, 8370/7354 is 10/1536986.