GCF of 4900/131, 2240/124
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4900/131, 2240/124 i.e 140/16244 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4900/131, 2240/124.
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 4900/131,2240/124?
Given fractions are 4900/131,2240/124
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 4900/131,2240/124, numerators are 4900,2240
Denominators are 131,124
The GCF of 4900,2240 is 140 .
LCM of 131,124 is 16244.
The greatest common factor of 4900/131,2240/124 = [GCF of 4900,2240]/[LCM of 131,124]= 140/16244
Therefore, the GCF of 4900/131,2240/124 is 140/16244.
To find the highest common factor of 4900,2240, we have to find the factors of both numbers and list the highest common factor.
The factors of 4900 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 49, 50, 70, 98, 100, 140, 175, 196, 245, 350, 490, 700, 980, 1225, 2450, 4900
The factors of 2240 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64, 70, 80, 112, 140, 160, 224, 280, 320, 448, 560, 1120, 2240
The HCF of 4900,2240 is 140.
Lets's calculate GCF of 4900,2240
| 2 | 4900, 2240 |
| 2 | 2450, 1120 |
| 5 | 1225, 560 |
| 7 | 245, 112 |
| 35, 16 |
∴ So the GCF of the given numbers is 2 x 2 x 5 x 7 = 140
Greatest Common Factor of 4900,2240 By Matching Biggest Common Factor Method
Now, list down the factors of 4900
:1,2,4,5,7,10,14,20,25,28,35,49,50,70,98,100,140,175,196,245,350,490,700,980,1225,2450,4900
Now, list down the factors of 2240
:1,2,4,5,7,8,10,14,16,20,28,32,35,40,56,64,70,80,112,140,160,224,280,320,448,560,1120,2240
Greatest Common Factor
We found the factors 4900,2240 . The biggest common factor number is the GCF number.
So the greatest common factor 4900,2240 is 140.
Lets's calculate LCM of 131,124
Given numbers has no common factors except 1. So, there LCM is their product i.e 16244
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 140/16244
Therefore, the GCF of Fractions 4900/131,2240/124 is 140/16244
Least Common Multiple of 131,124 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 131,124 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(131,124) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(131,124) x common factors =1 x 1 = 1
LCM(131,124) = ( 131 × 124 ) / 1
LCM(131,124) = 16244 / 1
LCM(131,124) = 16244
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FAQs on GCF of Fractions of 4900/131, 2240/124
1. What is the HCF of 4900,2240?
The HCF of 4900,2240 is 140
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 4900/131, 2240/124?
Answer: GCF of Numerators as per given numbers 4900/131, 2240/124 is
GCF of Numerators i.e. for 4900,2240 is 140
LCM of denominators i.e. for 131,124 is 16244.
Thus, GCF of Fractions is 140/16244.Finally, GCF of Fractions for 4900/131, 2240/124 is 140/16244.