GCF of 1960/808, 5232/8026
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1960/808, 5232/8026 i.e 8/3242504 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1960/808, 5232/8026.
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 1960/808,5232/8026?
Given fractions are 1960/808,5232/8026
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 1960/808,5232/8026, numerators are 1960,5232
Denominators are 808,8026
The GCF of 1960,5232 is 8 .
LCM of 808,8026 is 3242504.
The greatest common factor of 1960/808,5232/8026 = [GCF of 1960,5232]/[LCM of 808,8026]= 8/3242504
Therefore, the GCF of 1960/808,5232/8026 is 8/3242504.
To find the highest common factor of 1960,5232, 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 5232 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 109, 218, 327, 436, 654, 872, 1308, 1744, 2616, 5232
The HCF of 1960,5232 is 8.
Lets's calculate GCF of 1960,5232
| 2 | 1960, 5232 |
| 2 | 980, 2616 |
| 2 | 490, 1308 |
| 245, 654 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 1960,5232 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 5232
:1,2,3,4,6,8,12,16,24,48,109,218,327,436,654,872,1308,1744,2616,5232
Greatest Common Factor
We found the factors 1960,5232 . The biggest common factor number is the GCF number.
So the greatest common factor 1960,5232 is 8.
Lets's calculate LCM of 808,8026
| 2 | 808, 8026 |
| 404, 4013 |
∴ So the LCM of the given numbers is 2 x 404 x 4013 = 3242504
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/3242504
Therefore, the GCF of Fractions 1960/808,5232/8026 is 8/3242504
Least Common Multiple of 808,8026 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 808,8026 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(808,8026) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(808,8026) x common factors =2 x 1 = 2
LCM(808,8026) = ( 808 × 8026 ) / 2
LCM(808,8026) = 6485008 / 2
LCM(808,8026) = 3242504
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FAQs on GCF of Fractions of 1960/808, 5232/8026
1. What is the HCF of 1960,5232?
The HCF of 1960,5232 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 1960/808, 5232/8026?
Answer: GCF of Numerators as per given numbers 1960/808, 5232/8026 is
GCF of Numerators i.e. for 1960,5232 is 8
LCM of denominators i.e. for 808,8026 is 3242504.
Thus, GCF of Fractions is 8/3242504.Finally, GCF of Fractions for 1960/808, 5232/8026 is 8/3242504.