GCF of 9338/698, 5040/1020
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9338/698, 5040/1020 i.e 14/355980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9338/698, 5040/1020.
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 9338/698,5040/1020?
Given fractions are 9338/698,5040/1020
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 9338/698,5040/1020, numerators are 9338,5040
Denominators are 698,1020
The GCF of 9338,5040 is 14 .
LCM of 698,1020 is 355980.
The greatest common factor of 9338/698,5040/1020 = [GCF of 9338,5040]/[LCM of 698,1020]= 14/355980
Therefore, the GCF of 9338/698,5040/1020 is 14/355980.
To find the highest common factor of 9338,5040, we have to find the factors of both numbers and list the highest common factor.
The factors of 9338 are 1, 2, 7, 14, 23, 29, 46, 58, 161, 203, 322, 406, 667, 1334, 4669, 9338
The factors of 5040 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 28, 30, 35, 36, 40, 42, 45, 48, 56, 60, 63, 70, 72, 80, 84, 90, 105, 112, 120, 126, 140, 144, 168, 180, 210, 240, 252, 280, 315, 336, 360, 420, 504, 560, 630, 720, 840, 1008, 1260, 1680, 2520, 5040
The HCF of 9338,5040 is 14.
Lets's calculate GCF of 9338,5040
| 2 | 9338, 5040 |
| 7 | 4669, 2520 |
| 667, 360 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 9338,5040 By Matching Biggest Common Factor Method
Now, list down the factors of 9338
:1,2,7,14,23,29,46,58,161,203,322,406,667,1334,4669,9338
Now, list down the factors of 5040
:1,2,3,4,5,6,7,8,9,10,12,14,15,16,18,20,21,24,28,30,35,36,40,42,45,48,56,60,63,70,72,80,84,90,105,112,120,126,140,144,168,180,210,240,252,280,315,336,360,420,504,560,630,720,840,1008,1260,1680,2520,5040
Greatest Common Factor
We found the factors 9338,5040 . The biggest common factor number is the GCF number.
So the greatest common factor 9338,5040 is 14.
Lets's calculate LCM of 698,1020
| 2 | 698, 1020 |
| 349, 510 |
∴ So the LCM of the given numbers is 2 x 349 x 510 = 355980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/355980
Therefore, the GCF of Fractions 9338/698,5040/1020 is 14/355980
Least Common Multiple of 698,1020 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 698,1020 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(698,1020) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(698,1020) x common factors =2 x 1 = 2
LCM(698,1020) = ( 698 × 1020 ) / 2
LCM(698,1020) = 711960 / 2
LCM(698,1020) = 355980
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9338/698, 5040/1020
1. What is the HCF of 9338,5040?
The HCF of 9338,5040 is 14
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 9338/698, 5040/1020?
Answer: GCF of Numerators as per given numbers 9338/698, 5040/1020 is
GCF of Numerators i.e. for 9338,5040 is 14
LCM of denominators i.e. for 698,1020 is 355980.
Thus, GCF of Fractions is 14/355980.Finally, GCF of Fractions for 9338/698, 5040/1020 is 14/355980.