GCF of 4844/260, 2651/3522
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4844/260, 2651/3522 i.e 1/457860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4844/260, 2651/3522.
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 4844/260,2651/3522?
Given fractions are 4844/260,2651/3522
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 4844/260,2651/3522, numerators are 4844,2651
Denominators are 260,3522
The GCF of 4844,2651 is 1 .
LCM of 260,3522 is 457860.
The greatest common factor of 4844/260,2651/3522 = [GCF of 4844,2651]/[LCM of 260,3522]= 1/457860
Therefore, the GCF of 4844/260,2651/3522 is 1/457860.
To find the highest common factor of 4844,2651, we have to find the factors of both numbers and list the highest common factor.
The factors of 4844 are 1, 2, 4, 7, 14, 28, 173, 346, 692, 1211, 2422, 4844
The factors of 2651 are 1, 11, 241, 2651
The HCF of 4844,2651 is 1.
Lets's calculate GCF of 4844,2651
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4844,2651 By Matching Biggest Common Factor Method
Now, list down the factors of 4844
:1,2,4,7,14,28,173,346,692,1211,2422,4844
Now, list down the factors of 2651
:1,11,241,2651
Greatest Common Factor
We found the factors 4844,2651 . The biggest common factor number is the GCF number.
So the greatest common factor 4844,2651 is 1.
Lets's calculate LCM of 260,3522
| 2 | 260, 3522 |
| 130, 1761 |
∴ So the LCM of the given numbers is 2 x 130 x 1761 = 457860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/457860
Therefore, the GCF of Fractions 4844/260,2651/3522 is 1/457860
Least Common Multiple of 260,3522 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 260,3522 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(260,3522) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(260,3522) x common factors =2 x 1 = 2
LCM(260,3522) = ( 260 × 3522 ) / 2
LCM(260,3522) = 915720 / 2
LCM(260,3522) = 457860
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FAQs on GCF of Fractions of 4844/260, 2651/3522
1. What is the HCF of 4844,2651?
The HCF of 4844,2651 is 1
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 4844/260, 2651/3522?
Answer: GCF of Numerators as per given numbers 4844/260, 2651/3522 is
GCF of Numerators i.e. for 4844,2651 is 1
LCM of denominators i.e. for 260,3522 is 457860.
Thus, GCF of Fractions is 1/457860.Finally, GCF of Fractions for 4844/260, 2651/3522 is 1/457860.