GCF of 5088/123, 1982/6424
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5088/123, 1982/6424 i.e 2/790152 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5088/123, 1982/6424.
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 5088/123,1982/6424?
Given fractions are 5088/123,1982/6424
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 5088/123,1982/6424, numerators are 5088,1982
Denominators are 123,6424
The GCF of 5088,1982 is 2 .
LCM of 123,6424 is 790152.
The greatest common factor of 5088/123,1982/6424 = [GCF of 5088,1982]/[LCM of 123,6424]= 2/790152
Therefore, the GCF of 5088/123,1982/6424 is 2/790152.
To find the highest common factor of 5088,1982, we have to find the factors of both numbers and list the highest common factor.
The factors of 5088 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 53, 96, 106, 159, 212, 318, 424, 636, 848, 1272, 1696, 2544, 5088
The factors of 1982 are 1, 2, 991, 1982
The HCF of 5088,1982 is 2.
Lets's calculate GCF of 5088,1982
| 2 | 5088, 1982 |
| 2544, 991 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5088,1982 By Matching Biggest Common Factor Method
Now, list down the factors of 5088
:1,2,3,4,6,8,12,16,24,32,48,53,96,106,159,212,318,424,636,848,1272,1696,2544,5088
Now, list down the factors of 1982
:1,2,991,1982
Greatest Common Factor
We found the factors 5088,1982 . The biggest common factor number is the GCF number.
So the greatest common factor 5088,1982 is 2.
Lets's calculate LCM of 123,6424
Given numbers has no common factors except 1. So, there LCM is their product i.e 790152
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/790152
Therefore, the GCF of Fractions 5088/123,1982/6424 is 2/790152
Least Common Multiple of 123,6424 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 123,6424 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(123,6424) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(123,6424) x common factors =1 x 1 = 1
LCM(123,6424) = ( 123 × 6424 ) / 1
LCM(123,6424) = 790152 / 1
LCM(123,6424) = 790152
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FAQs on GCF of Fractions of 5088/123, 1982/6424
1. What is the HCF of 5088,1982?
The HCF of 5088,1982 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 5088/123, 1982/6424?
Answer: GCF of Numerators as per given numbers 5088/123, 1982/6424 is
GCF of Numerators i.e. for 5088,1982 is 2
LCM of denominators i.e. for 123,6424 is 790152.
Thus, GCF of Fractions is 2/790152.Finally, GCF of Fractions for 5088/123, 1982/6424 is 2/790152.