GCF of 7029/241, 3102/4384
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7029/241, 3102/4384 i.e 33/1056544 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7029/241, 3102/4384.
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 7029/241,3102/4384?
Given fractions are 7029/241,3102/4384
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 7029/241,3102/4384, numerators are 7029,3102
Denominators are 241,4384
The GCF of 7029,3102 is 33 .
LCM of 241,4384 is 1056544.
The greatest common factor of 7029/241,3102/4384 = [GCF of 7029,3102]/[LCM of 241,4384]= 33/1056544
Therefore, the GCF of 7029/241,3102/4384 is 33/1056544.
To find the highest common factor of 7029,3102, we have to find the factors of both numbers and list the highest common factor.
The factors of 7029 are 1, 3, 9, 11, 33, 71, 99, 213, 639, 781, 2343, 7029
The factors of 3102 are 1, 2, 3, 6, 11, 22, 33, 47, 66, 94, 141, 282, 517, 1034, 1551, 3102
The HCF of 7029,3102 is 33.
Lets's calculate GCF of 7029,3102
| 3 | 7029, 3102 |
| 11 | 2343, 1034 |
| 213, 94 |
∴ So the GCF of the given numbers is 3 x 11 = 33
Greatest Common Factor of 7029,3102 By Matching Biggest Common Factor Method
Now, list down the factors of 7029
:1,3,9,11,33,71,99,213,639,781,2343,7029
Now, list down the factors of 3102
:1,2,3,6,11,22,33,47,66,94,141,282,517,1034,1551,3102
Greatest Common Factor
We found the factors 7029,3102 . The biggest common factor number is the GCF number.
So the greatest common factor 7029,3102 is 33.
Lets's calculate LCM of 241,4384
Given numbers has no common factors except 1. So, there LCM is their product i.e 1056544
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 33/1056544
Therefore, the GCF of Fractions 7029/241,3102/4384 is 33/1056544
Least Common Multiple of 241,4384 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 241,4384 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(241,4384) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(241,4384) x common factors =1 x 1 = 1
LCM(241,4384) = ( 241 × 4384 ) / 1
LCM(241,4384) = 1056544 / 1
LCM(241,4384) = 1056544
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FAQs on GCF of Fractions of 7029/241, 3102/4384
1. What is the HCF of 7029,3102?
The HCF of 7029,3102 is 33
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 7029/241, 3102/4384?
Answer: GCF of Numerators as per given numbers 7029/241, 3102/4384 is
GCF of Numerators i.e. for 7029,3102 is 33
LCM of denominators i.e. for 241,4384 is 1056544.
Thus, GCF of Fractions is 33/1056544.Finally, GCF of Fractions for 7029/241, 3102/4384 is 33/1056544.