GCF of 9800/757, 6670/274
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9800/757, 6670/274 i.e 10/207418 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9800/757, 6670/274.
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 9800/757,6670/274?
Given fractions are 9800/757,6670/274
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 9800/757,6670/274, numerators are 9800,6670
Denominators are 757,274
The GCF of 9800,6670 is 10 .
LCM of 757,274 is 207418.
The greatest common factor of 9800/757,6670/274 = [GCF of 9800,6670]/[LCM of 757,274]= 10/207418
Therefore, the GCF of 9800/757,6670/274 is 10/207418.
To find the highest common factor of 9800,6670, we have to find the factors of both numbers and list the highest common factor.
The factors of 9800 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 49, 50, 56, 70, 98, 100, 140, 175, 196, 200, 245, 280, 350, 392, 490, 700, 980, 1225, 1400, 1960, 2450, 4900, 9800
The factors of 6670 are 1, 2, 5, 10, 23, 29, 46, 58, 115, 145, 230, 290, 667, 1334, 3335, 6670
The HCF of 9800,6670 is 10.
Lets's calculate GCF of 9800,6670
| 2 | 9800, 6670 |
| 5 | 4900, 3335 |
| 980, 667 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 9800,6670 By Matching Biggest Common Factor Method
Now, list down the factors of 9800
:1,2,4,5,7,8,10,14,20,25,28,35,40,49,50,56,70,98,100,140,175,196,200,245,280,350,392,490,700,980,1225,1400,1960,2450,4900,9800
Now, list down the factors of 6670
:1,2,5,10,23,29,46,58,115,145,230,290,667,1334,3335,6670
Greatest Common Factor
We found the factors 9800,6670 . The biggest common factor number is the GCF number.
So the greatest common factor 9800,6670 is 10.
Lets's calculate LCM of 757,274
Given numbers has no common factors except 1. So, there LCM is their product i.e 207418
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/207418
Therefore, the GCF of Fractions 9800/757,6670/274 is 10/207418
Least Common Multiple of 757,274 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 757,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(757,274) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(757,274) x common factors =1 x 1 = 1
LCM(757,274) = ( 757 × 274 ) / 1
LCM(757,274) = 207418 / 1
LCM(757,274) = 207418
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FAQs on GCF of Fractions of 9800/757, 6670/274
1. What is the HCF of 9800,6670?
The HCF of 9800,6670 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 9800/757, 6670/274?
Answer: GCF of Numerators as per given numbers 9800/757, 6670/274 is
GCF of Numerators i.e. for 9800,6670 is 10
LCM of denominators i.e. for 757,274 is 207418.
Thus, GCF of Fractions is 10/207418.Finally, GCF of Fractions for 9800/757, 6670/274 is 10/207418.