GCF of 7917/348, 9360/6402
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7917/348, 9360/6402 i.e 39/371316 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7917/348, 9360/6402.
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 7917/348,9360/6402?
Given fractions are 7917/348,9360/6402
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 7917/348,9360/6402, numerators are 7917,9360
Denominators are 348,6402
The GCF of 7917,9360 is 39 .
LCM of 348,6402 is 371316.
The greatest common factor of 7917/348,9360/6402 = [GCF of 7917,9360]/[LCM of 348,6402]= 39/371316
Therefore, the GCF of 7917/348,9360/6402 is 39/371316.
To find the highest common factor of 7917,9360, we have to find the factors of both numbers and list the highest common factor.
The factors of 7917 are 1, 3, 7, 13, 21, 29, 39, 87, 91, 203, 273, 377, 609, 1131, 2639, 7917
The factors of 9360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 16, 18, 20, 24, 26, 30, 36, 39, 40, 45, 48, 52, 60, 65, 72, 78, 80, 90, 104, 117, 120, 130, 144, 156, 180, 195, 208, 234, 240, 260, 312, 360, 390, 468, 520, 585, 624, 720, 780, 936, 1040, 1170, 1560, 1872, 2340, 3120, 4680, 9360
The HCF of 7917,9360 is 39.
Lets's calculate GCF of 7917,9360
| 3 | 7917, 9360 |
| 13 | 2639, 3120 |
| 203, 240 |
∴ So the GCF of the given numbers is 3 x 13 = 39
Greatest Common Factor of 7917,9360 By Matching Biggest Common Factor Method
Now, list down the factors of 7917
:1,3,7,13,21,29,39,87,91,203,273,377,609,1131,2639,7917
Now, list down the factors of 9360
:1,2,3,4,5,6,8,9,10,12,13,15,16,18,20,24,26,30,36,39,40,45,48,52,60,65,72,78,80,90,104,117,120,130,144,156,180,195,208,234,240,260,312,360,390,468,520,585,624,720,780,936,1040,1170,1560,1872,2340,3120,4680,9360
Greatest Common Factor
We found the factors 7917,9360 . The biggest common factor number is the GCF number.
So the greatest common factor 7917,9360 is 39.
Lets's calculate LCM of 348,6402
| 2 | 348, 6402 |
| 3 | 174, 3201 |
| 58, 1067 |
∴ So the LCM of the given numbers is 2 x 3 x 58 x 1067 = 371316
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 39/371316
Therefore, the GCF of Fractions 7917/348,9360/6402 is 39/371316
Least Common Multiple of 348,6402 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 348,6402 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(348,6402) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(348,6402) x common factors =6 x 1 = 6
LCM(348,6402) = ( 348 × 6402 ) / 6
LCM(348,6402) = 2227896 / 6
LCM(348,6402) = 371316
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7917/348, 9360/6402
1. What is the HCF of 7917,9360?
The HCF of 7917,9360 is 39
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 7917/348, 9360/6402?
Answer: GCF of Numerators as per given numbers 7917/348, 9360/6402 is
GCF of Numerators i.e. for 7917,9360 is 39
LCM of denominators i.e. for 348,6402 is 371316.
Thus, GCF of Fractions is 39/371316.Finally, GCF of Fractions for 7917/348, 9360/6402 is 39/371316.