GCF of 3260/752, 1720/4850
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3260/752, 1720/4850 i.e 20/1823600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3260/752, 1720/4850.
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 3260/752,1720/4850?
Given fractions are 3260/752,1720/4850
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 3260/752,1720/4850, numerators are 3260,1720
Denominators are 752,4850
The GCF of 3260,1720 is 20 .
LCM of 752,4850 is 1823600.
The greatest common factor of 3260/752,1720/4850 = [GCF of 3260,1720]/[LCM of 752,4850]= 20/1823600
Therefore, the GCF of 3260/752,1720/4850 is 20/1823600.
To find the highest common factor of 3260,1720, we have to find the factors of both numbers and list the highest common factor.
The factors of 3260 are 1, 2, 4, 5, 10, 20, 163, 326, 652, 815, 1630, 3260
The factors of 1720 are 1, 2, 4, 5, 8, 10, 20, 40, 43, 86, 172, 215, 344, 430, 860, 1720
The HCF of 3260,1720 is 20.
Lets's calculate GCF of 3260,1720
| 2 | 3260, 1720 |
| 2 | 1630, 860 |
| 5 | 815, 430 |
| 163, 86 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Greatest Common Factor of 3260,1720 By Matching Biggest Common Factor Method
Now, list down the factors of 3260
:1,2,4,5,10,20,163,326,652,815,1630,3260
Now, list down the factors of 1720
:1,2,4,5,8,10,20,40,43,86,172,215,344,430,860,1720
Greatest Common Factor
We found the factors 3260,1720 . The biggest common factor number is the GCF number.
So the greatest common factor 3260,1720 is 20.
Lets's calculate LCM of 752,4850
| 2 | 752, 4850 |
| 376, 2425 |
∴ So the LCM of the given numbers is 2 x 376 x 2425 = 1823600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/1823600
Therefore, the GCF of Fractions 3260/752,1720/4850 is 20/1823600
Least Common Multiple of 752,4850 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 752,4850 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(752,4850) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(752,4850) x common factors =2 x 1 = 2
LCM(752,4850) = ( 752 × 4850 ) / 2
LCM(752,4850) = 3647200 / 2
LCM(752,4850) = 1823600
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FAQs on GCF of Fractions of 3260/752, 1720/4850
1. What is the HCF of 3260,1720?
The HCF of 3260,1720 is 20
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 3260/752, 1720/4850?
Answer: GCF of Numerators as per given numbers 3260/752, 1720/4850 is
GCF of Numerators i.e. for 3260,1720 is 20
LCM of denominators i.e. for 752,4850 is 1823600.
Thus, GCF of Fractions is 20/1823600.Finally, GCF of Fractions for 3260/752, 1720/4850 is 20/1823600.