GCF of 7008/458, 4646/1207
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7008/458, 4646/1207 i.e 2/552806 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7008/458, 4646/1207.
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 7008/458,4646/1207?
Given fractions are 7008/458,4646/1207
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 7008/458,4646/1207, numerators are 7008,4646
Denominators are 458,1207
The GCF of 7008,4646 is 2 .
LCM of 458,1207 is 552806.
The greatest common factor of 7008/458,4646/1207 = [GCF of 7008,4646]/[LCM of 458,1207]= 2/552806
Therefore, the GCF of 7008/458,4646/1207 is 2/552806.
To find the highest common factor of 7008,4646, we have to find the factors of both numbers and list the highest common factor.
The factors of 7008 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 73, 96, 146, 219, 292, 438, 584, 876, 1168, 1752, 2336, 3504, 7008
The factors of 4646 are 1, 2, 23, 46, 101, 202, 2323, 4646
The HCF of 7008,4646 is 2.
Lets's calculate GCF of 7008,4646
| 2 | 7008, 4646 |
| 3504, 2323 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7008,4646 By Matching Biggest Common Factor Method
Now, list down the factors of 7008
:1,2,3,4,6,8,12,16,24,32,48,73,96,146,219,292,438,584,876,1168,1752,2336,3504,7008
Now, list down the factors of 4646
:1,2,23,46,101,202,2323,4646
Greatest Common Factor
We found the factors 7008,4646 . The biggest common factor number is the GCF number.
So the greatest common factor 7008,4646 is 2.
Lets's calculate LCM of 458,1207
Given numbers has no common factors except 1. So, there LCM is their product i.e 552806
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/552806
Therefore, the GCF of Fractions 7008/458,4646/1207 is 2/552806
Least Common Multiple of 458,1207 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 458,1207 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(458,1207) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(458,1207) x common factors =1 x 1 = 1
LCM(458,1207) = ( 458 × 1207 ) / 1
LCM(458,1207) = 552806 / 1
LCM(458,1207) = 552806
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FAQs on GCF of Fractions of 7008/458, 4646/1207
1. What is the HCF of 7008,4646?
The HCF of 7008,4646 is 2
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 7008/458, 4646/1207?
Answer: GCF of Numerators as per given numbers 7008/458, 4646/1207 is
GCF of Numerators i.e. for 7008,4646 is 2
LCM of denominators i.e. for 458,1207 is 552806.
Thus, GCF of Fractions is 2/552806.Finally, GCF of Fractions for 7008/458, 4646/1207 is 2/552806.