GCF of 7968/361, 5210/104
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7968/361, 5210/104 i.e 2/37544 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7968/361, 5210/104.
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 7968/361,5210/104?
Given fractions are 7968/361,5210/104
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 7968/361,5210/104, numerators are 7968,5210
Denominators are 361,104
The GCF of 7968,5210 is 2 .
LCM of 361,104 is 37544.
The greatest common factor of 7968/361,5210/104 = [GCF of 7968,5210]/[LCM of 361,104]= 2/37544
Therefore, the GCF of 7968/361,5210/104 is 2/37544.
To find the highest common factor of 7968,5210, we have to find the factors of both numbers and list the highest common factor.
The factors of 7968 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 83, 96, 166, 249, 332, 498, 664, 996, 1328, 1992, 2656, 3984, 7968
The factors of 5210 are 1, 2, 5, 10, 521, 1042, 2605, 5210
The HCF of 7968,5210 is 2.
Lets's calculate GCF of 7968,5210
| 2 | 7968, 5210 |
| 3984, 2605 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7968,5210 By Matching Biggest Common Factor Method
Now, list down the factors of 7968
:1,2,3,4,6,8,12,16,24,32,48,83,96,166,249,332,498,664,996,1328,1992,2656,3984,7968
Now, list down the factors of 5210
:1,2,5,10,521,1042,2605,5210
Greatest Common Factor
We found the factors 7968,5210 . The biggest common factor number is the GCF number.
So the greatest common factor 7968,5210 is 2.
Lets's calculate LCM of 361,104
Given numbers has no common factors except 1. So, there LCM is their product i.e 37544
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/37544
Therefore, the GCF of Fractions 7968/361,5210/104 is 2/37544
Least Common Multiple of 361,104 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 361,104 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(361,104) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(361,104) x common factors =1 x 1 = 1
LCM(361,104) = ( 361 × 104 ) / 1
LCM(361,104) = 37544 / 1
LCM(361,104) = 37544
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FAQs on GCF of Fractions of 7968/361, 5210/104
1. What is the HCF of 7968,5210?
The HCF of 7968,5210 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 7968/361, 5210/104?
Answer: GCF of Numerators as per given numbers 7968/361, 5210/104 is
GCF of Numerators i.e. for 7968,5210 is 2
LCM of denominators i.e. for 361,104 is 37544.
Thus, GCF of Fractions is 2/37544.Finally, GCF of Fractions for 7968/361, 5210/104 is 2/37544.