GCF of 7380/120, 8597/398
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7380/120, 8597/398 i.e 1/23880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7380/120, 8597/398.
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 7380/120,8597/398?
Given fractions are 7380/120,8597/398
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 7380/120,8597/398, numerators are 7380,8597
Denominators are 120,398
The GCF of 7380,8597 is 1 .
LCM of 120,398 is 23880.
The greatest common factor of 7380/120,8597/398 = [GCF of 7380,8597]/[LCM of 120,398]= 1/23880
Therefore, the GCF of 7380/120,8597/398 is 1/23880.
To find the highest common factor of 7380,8597, we have to find the factors of both numbers and list the highest common factor.
The factors of 7380 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 41, 45, 60, 82, 90, 123, 164, 180, 205, 246, 369, 410, 492, 615, 738, 820, 1230, 1476, 1845, 2460, 3690, 7380
The factors of 8597 are 1, 8597
The HCF of 7380,8597 is 1.
Lets's calculate GCF of 7380,8597
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7380,8597 By Matching Biggest Common Factor Method
Now, list down the factors of 7380
:1,2,3,4,5,6,9,10,12,15,18,20,30,36,41,45,60,82,90,123,164,180,205,246,369,410,492,615,738,820,1230,1476,1845,2460,3690,7380
Now, list down the factors of 8597
:1,8597
Greatest Common Factor
We found the factors 7380,8597 . The biggest common factor number is the GCF number.
So the greatest common factor 7380,8597 is 1.
Lets's calculate LCM of 120,398
| 2 | 120, 398 |
| 60, 199 |
∴ So the LCM of the given numbers is 2 x 60 x 199 = 23880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23880
Therefore, the GCF of Fractions 7380/120,8597/398 is 1/23880
Least Common Multiple of 120,398 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 120,398 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(120,398) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(120,398) x common factors =2 x 1 = 2
LCM(120,398) = ( 120 × 398 ) / 2
LCM(120,398) = 47760 / 2
LCM(120,398) = 23880
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FAQs on GCF of Fractions of 7380/120, 8597/398
1. What is the HCF of 7380,8597?
The HCF of 7380,8597 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 7380/120, 8597/398?
Answer: GCF of Numerators as per given numbers 7380/120, 8597/398 is
GCF of Numerators i.e. for 7380,8597 is 1
LCM of denominators i.e. for 120,398 is 23880.
Thus, GCF of Fractions is 1/23880.Finally, GCF of Fractions for 7380/120, 8597/398 is 1/23880.