GCF of 4180/118, 9320/1348
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4180/118, 9320/1348 i.e 20/79532 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4180/118, 9320/1348.
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 4180/118,9320/1348?
Given fractions are 4180/118,9320/1348
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 4180/118,9320/1348, numerators are 4180,9320
Denominators are 118,1348
The GCF of 4180,9320 is 20 .
LCM of 118,1348 is 79532.
The greatest common factor of 4180/118,9320/1348 = [GCF of 4180,9320]/[LCM of 118,1348]= 20/79532
Therefore, the GCF of 4180/118,9320/1348 is 20/79532.
To find the highest common factor of 4180,9320, we have to find the factors of both numbers and list the highest common factor.
The factors of 4180 are 1, 2, 4, 5, 10, 11, 19, 20, 22, 38, 44, 55, 76, 95, 110, 190, 209, 220, 380, 418, 836, 1045, 2090, 4180
The factors of 9320 are 1, 2, 4, 5, 8, 10, 20, 40, 233, 466, 932, 1165, 1864, 2330, 4660, 9320
The HCF of 4180,9320 is 20.
Lets's calculate GCF of 4180,9320
| 2 | 4180, 9320 |
| 2 | 2090, 4660 |
| 5 | 1045, 2330 |
| 209, 466 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Greatest Common Factor of 4180,9320 By Matching Biggest Common Factor Method
Now, list down the factors of 4180
:1,2,4,5,10,11,19,20,22,38,44,55,76,95,110,190,209,220,380,418,836,1045,2090,4180
Now, list down the factors of 9320
:1,2,4,5,8,10,20,40,233,466,932,1165,1864,2330,4660,9320
Greatest Common Factor
We found the factors 4180,9320 . The biggest common factor number is the GCF number.
So the greatest common factor 4180,9320 is 20.
Lets's calculate LCM of 118,1348
| 2 | 118, 1348 |
| 59, 674 |
∴ So the LCM of the given numbers is 2 x 59 x 674 = 79532
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/79532
Therefore, the GCF of Fractions 4180/118,9320/1348 is 20/79532
Least Common Multiple of 118,1348 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 118,1348 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(118,1348) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(118,1348) x common factors =2 x 1 = 2
LCM(118,1348) = ( 118 × 1348 ) / 2
LCM(118,1348) = 159064 / 2
LCM(118,1348) = 79532
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4180/118, 9320/1348
1. What is the HCF of 4180,9320?
The HCF of 4180,9320 is 20
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 4180/118, 9320/1348?
Answer: GCF of Numerators as per given numbers 4180/118, 9320/1348 is
GCF of Numerators i.e. for 4180,9320 is 20
LCM of denominators i.e. for 118,1348 is 79532.
Thus, GCF of Fractions is 20/79532.Finally, GCF of Fractions for 4180/118, 9320/1348 is 20/79532.