GCF of 3133/651, 4849/7204
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3133/651, 4849/7204 i.e 13/4689804 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3133/651, 4849/7204.
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 3133/651,4849/7204?
Given fractions are 3133/651,4849/7204
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 3133/651,4849/7204, numerators are 3133,4849
Denominators are 651,7204
The GCF of 3133,4849 is 13 .
LCM of 651,7204 is 4689804.
The greatest common factor of 3133/651,4849/7204 = [GCF of 3133,4849]/[LCM of 651,7204]= 13/4689804
Therefore, the GCF of 3133/651,4849/7204 is 13/4689804.
To find the highest common factor of 3133,4849, we have to find the factors of both numbers and list the highest common factor.
The factors of 3133 are 1, 13, 241, 3133
The factors of 4849 are 1, 13, 373, 4849
The HCF of 3133,4849 is 13.
Lets's calculate GCF of 3133,4849
| 13 | 3133, 4849 |
| 241, 373 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 3133,4849 By Matching Biggest Common Factor Method
Now, list down the factors of 3133
:1,13,241,3133
Now, list down the factors of 4849
:1,13,373,4849
Greatest Common Factor
We found the factors 3133,4849 . The biggest common factor number is the GCF number.
So the greatest common factor 3133,4849 is 13.
Lets's calculate LCM of 651,7204
Given numbers has no common factors except 1. So, there LCM is their product i.e 4689804
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/4689804
Therefore, the GCF of Fractions 3133/651,4849/7204 is 13/4689804
Least Common Multiple of 651,7204 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 651,7204 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(651,7204) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(651,7204) x common factors =1 x 1 = 1
LCM(651,7204) = ( 651 × 7204 ) / 1
LCM(651,7204) = 4689804 / 1
LCM(651,7204) = 4689804
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FAQs on GCF of Fractions of 3133/651, 4849/7204
1. What is the HCF of 3133,4849?
The HCF of 3133,4849 is 13
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 3133/651, 4849/7204?
Answer: GCF of Numerators as per given numbers 3133/651, 4849/7204 is
GCF of Numerators i.e. for 3133,4849 is 13
LCM of denominators i.e. for 651,7204 is 4689804.
Thus, GCF of Fractions is 13/4689804.Finally, GCF of Fractions for 3133/651, 4849/7204 is 13/4689804.