GCF of 1960/968, 4224/242
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1960/968, 4224/242 i.e 8/968 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1960/968, 4224/242.
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 1960/968,4224/242?
Given fractions are 1960/968,4224/242
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 1960/968,4224/242, numerators are 1960,4224
Denominators are 968,242
The GCF of 1960,4224 is 8 .
LCM of 968,242 is 968.
The greatest common factor of 1960/968,4224/242 = [GCF of 1960,4224]/[LCM of 968,242]= 8/968
Therefore, the GCF of 1960/968,4224/242 is 8/968.
To find the highest common factor of 1960,4224, we have to find the factors of both numbers and list the highest common factor.
The factors of 1960 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 49, 56, 70, 98, 140, 196, 245, 280, 392, 490, 980, 1960
The factors of 4224 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 64, 66, 88, 96, 128, 132, 176, 192, 264, 352, 384, 528, 704, 1056, 1408, 2112, 4224
The HCF of 1960,4224 is 8.
Lets's calculate GCF of 1960,4224
| 2 | 1960, 4224 |
| 2 | 980, 2112 |
| 2 | 490, 1056 |
| 245, 528 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 1960,4224 By Matching Biggest Common Factor Method
Now, list down the factors of 1960
:1,2,4,5,7,8,10,14,20,28,35,40,49,56,70,98,140,196,245,280,392,490,980,1960
Now, list down the factors of 4224
:1,2,3,4,6,8,11,12,16,22,24,32,33,44,48,64,66,88,96,128,132,176,192,264,352,384,528,704,1056,1408,2112,4224
Greatest Common Factor
We found the factors 1960,4224 . The biggest common factor number is the GCF number.
So the greatest common factor 1960,4224 is 8.
Lets's calculate LCM of 968,242
| 2 | 968, 242 |
| 11 | 484, 121 |
| 11 | 44, 11 |
| 4, 1 |
∴ So the LCM of the given numbers is 2 x 11 x 11 x 4 x 1 = 968
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/968
Therefore, the GCF of Fractions 1960/968,4224/242 is 8/968
Least Common Multiple of 968,242 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 968,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(968,242) = 242
common factors(in case of two or more numbers have common factors) = 1
GCF(968,242) x common factors =242 x 1 = 242
LCM(968,242) = ( 968 × 242 ) / 242
LCM(968,242) = 234256 / 242
LCM(968,242) = 968
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FAQs on GCF of Fractions of 1960/968, 4224/242
1. What is the HCF of 1960,4224?
The HCF of 1960,4224 is 8
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 1960/968, 4224/242?
Answer: GCF of Numerators as per given numbers 1960/968, 4224/242 is
GCF of Numerators i.e. for 1960,4224 is 8
LCM of denominators i.e. for 968,242 is 968.
Thus, GCF of Fractions is 8/968.Finally, GCF of Fractions for 1960/968, 4224/242 is 8/968.