GCF of 5935/120, 5624/1026
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5935/120, 5624/1026 i.e 1/20520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5935/120, 5624/1026.
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 5935/120,5624/1026?
Given fractions are 5935/120,5624/1026
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 5935/120,5624/1026, numerators are 5935,5624
Denominators are 120,1026
The GCF of 5935,5624 is 1 .
LCM of 120,1026 is 20520.
The greatest common factor of 5935/120,5624/1026 = [GCF of 5935,5624]/[LCM of 120,1026]= 1/20520
Therefore, the GCF of 5935/120,5624/1026 is 1/20520.
To find the highest common factor of 5935,5624, we have to find the factors of both numbers and list the highest common factor.
The factors of 5935 are 1, 5, 1187, 5935
The factors of 5624 are 1, 2, 4, 8, 19, 37, 38, 74, 76, 148, 152, 296, 703, 1406, 2812, 5624
The HCF of 5935,5624 is 1.
Lets's calculate GCF of 5935,5624
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5935,5624 By Matching Biggest Common Factor Method
Now, list down the factors of 5935
:1,5,1187,5935
Now, list down the factors of 5624
:1,2,4,8,19,37,38,74,76,148,152,296,703,1406,2812,5624
Greatest Common Factor
We found the factors 5935,5624 . The biggest common factor number is the GCF number.
So the greatest common factor 5935,5624 is 1.
Lets's calculate LCM of 120,1026
| 2 | 120, 1026 |
| 3 | 60, 513 |
| 20, 171 |
∴ So the LCM of the given numbers is 2 x 3 x 20 x 171 = 20520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20520
Therefore, the GCF of Fractions 5935/120,5624/1026 is 1/20520
Least Common Multiple of 120,1026 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 120,1026 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(120,1026) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(120,1026) x common factors =6 x 1 = 6
LCM(120,1026) = ( 120 × 1026 ) / 6
LCM(120,1026) = 123120 / 6
LCM(120,1026) = 20520
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FAQs on GCF of Fractions of 5935/120, 5624/1026
1. What is the HCF of 5935,5624?
The HCF of 5935,5624 is 1
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 5935/120, 5624/1026?
Answer: GCF of Numerators as per given numbers 5935/120, 5624/1026 is
GCF of Numerators i.e. for 5935,5624 is 1
LCM of denominators i.e. for 120,1026 is 20520.
Thus, GCF of Fractions is 1/20520.Finally, GCF of Fractions for 5935/120, 5624/1026 is 1/20520.