GCF of 5496/940, 1864/7574
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5496/940, 1864/7574 i.e 8/3559780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5496/940, 1864/7574.
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 5496/940,1864/7574?
Given fractions are 5496/940,1864/7574
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 5496/940,1864/7574, numerators are 5496,1864
Denominators are 940,7574
The GCF of 5496,1864 is 8 .
LCM of 940,7574 is 3559780.
The greatest common factor of 5496/940,1864/7574 = [GCF of 5496,1864]/[LCM of 940,7574]= 8/3559780
Therefore, the GCF of 5496/940,1864/7574 is 8/3559780.
To find the highest common factor of 5496,1864, we have to find the factors of both numbers and list the highest common factor.
The factors of 5496 are 1, 2, 3, 4, 6, 8, 12, 24, 229, 458, 687, 916, 1374, 1832, 2748, 5496
The factors of 1864 are 1, 2, 4, 8, 233, 466, 932, 1864
The HCF of 5496,1864 is 8.
Lets's calculate GCF of 5496,1864
| 2 | 5496, 1864 |
| 2 | 2748, 932 |
| 2 | 1374, 466 |
| 687, 233 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 5496,1864 By Matching Biggest Common Factor Method
Now, list down the factors of 5496
:1,2,3,4,6,8,12,24,229,458,687,916,1374,1832,2748,5496
Now, list down the factors of 1864
:1,2,4,8,233,466,932,1864
Greatest Common Factor
We found the factors 5496,1864 . The biggest common factor number is the GCF number.
So the greatest common factor 5496,1864 is 8.
Lets's calculate LCM of 940,7574
| 2 | 940, 7574 |
| 470, 3787 |
∴ So the LCM of the given numbers is 2 x 470 x 3787 = 3559780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/3559780
Therefore, the GCF of Fractions 5496/940,1864/7574 is 8/3559780
Least Common Multiple of 940,7574 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 940,7574 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(940,7574) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(940,7574) x common factors =2 x 1 = 2
LCM(940,7574) = ( 940 × 7574 ) / 2
LCM(940,7574) = 7119560 / 2
LCM(940,7574) = 3559780
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FAQs on GCF of Fractions of 5496/940, 1864/7574
1. What is the HCF of 5496,1864?
The HCF of 5496,1864 is 8
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 5496/940, 1864/7574?
Answer: GCF of Numerators as per given numbers 5496/940, 1864/7574 is
GCF of Numerators i.e. for 5496,1864 is 8
LCM of denominators i.e. for 940,7574 is 3559780.
Thus, GCF of Fractions is 8/3559780.Finally, GCF of Fractions for 5496/940, 1864/7574 is 8/3559780.