GCF of 7399/158, 9800/228
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7399/158, 9800/228 i.e 49/18012 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7399/158, 9800/228.
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 7399/158,9800/228?
Given fractions are 7399/158,9800/228
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 7399/158,9800/228, numerators are 7399,9800
Denominators are 158,228
The GCF of 7399,9800 is 49 .
LCM of 158,228 is 18012.
The greatest common factor of 7399/158,9800/228 = [GCF of 7399,9800]/[LCM of 158,228]= 49/18012
Therefore, the GCF of 7399/158,9800/228 is 49/18012.
To find the highest common factor of 7399,9800, we have to find the factors of both numbers and list the highest common factor.
The factors of 7399 are 1, 7, 49, 151, 1057, 7399
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 HCF of 7399,9800 is 49.
Lets's calculate GCF of 7399,9800
| 7 | 7399, 9800 |
| 7 | 1057, 1400 |
| 151, 200 |
∴ So the GCF of the given numbers is 7 x 7 = 49
Greatest Common Factor of 7399,9800 By Matching Biggest Common Factor Method
Now, list down the factors of 7399
:1,7,49,151,1057,7399
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
Greatest Common Factor
We found the factors 7399,9800 . The biggest common factor number is the GCF number.
So the greatest common factor 7399,9800 is 49.
Lets's calculate LCM of 158,228
| 2 | 158, 228 |
| 79, 114 |
∴ So the LCM of the given numbers is 2 x 79 x 114 = 18012
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 49/18012
Therefore, the GCF of Fractions 7399/158,9800/228 is 49/18012
Least Common Multiple of 158,228 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 158,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(158,228) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(158,228) x common factors =2 x 1 = 2
LCM(158,228) = ( 158 × 228 ) / 2
LCM(158,228) = 36024 / 2
LCM(158,228) = 18012
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FAQs on GCF of Fractions of 7399/158, 9800/228
1. What is the HCF of 7399,9800?
The HCF of 7399,9800 is 49
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 7399/158, 9800/228?
Answer: GCF of Numerators as per given numbers 7399/158, 9800/228 is
GCF of Numerators i.e. for 7399,9800 is 49
LCM of denominators i.e. for 158,228 is 18012.
Thus, GCF of Fractions is 49/18012.Finally, GCF of Fractions for 7399/158, 9800/228 is 49/18012.