GCF of 5488/792, 1646/4028
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5488/792, 1646/4028 i.e 2/797544 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5488/792, 1646/4028.
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 5488/792,1646/4028?
Given fractions are 5488/792,1646/4028
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 5488/792,1646/4028, numerators are 5488,1646
Denominators are 792,4028
The GCF of 5488,1646 is 2 .
LCM of 792,4028 is 797544.
The greatest common factor of 5488/792,1646/4028 = [GCF of 5488,1646]/[LCM of 792,4028]= 2/797544
Therefore, the GCF of 5488/792,1646/4028 is 2/797544.
To find the highest common factor of 5488,1646, we have to find the factors of both numbers and list the highest common factor.
The factors of 5488 are 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 343, 392, 686, 784, 1372, 2744, 5488
The factors of 1646 are 1, 2, 823, 1646
The HCF of 5488,1646 is 2.
Lets's calculate GCF of 5488,1646
| 2 | 5488, 1646 |
| 2744, 823 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5488,1646 By Matching Biggest Common Factor Method
Now, list down the factors of 5488
:1,2,4,7,8,14,16,28,49,56,98,112,196,343,392,686,784,1372,2744,5488
Now, list down the factors of 1646
:1,2,823,1646
Greatest Common Factor
We found the factors 5488,1646 . The biggest common factor number is the GCF number.
So the greatest common factor 5488,1646 is 2.
Lets's calculate LCM of 792,4028
| 2 | 792, 4028 |
| 2 | 396, 2014 |
| 198, 1007 |
∴ So the LCM of the given numbers is 2 x 2 x 198 x 1007 = 797544
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/797544
Therefore, the GCF of Fractions 5488/792,1646/4028 is 2/797544
Least Common Multiple of 792,4028 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 792,4028 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(792,4028) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(792,4028) x common factors =4 x 1 = 4
LCM(792,4028) = ( 792 × 4028 ) / 4
LCM(792,4028) = 3190176 / 4
LCM(792,4028) = 797544
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FAQs on GCF of Fractions of 5488/792, 1646/4028
1. What is the HCF of 5488,1646?
The HCF of 5488,1646 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 5488/792, 1646/4028?
Answer: GCF of Numerators as per given numbers 5488/792, 1646/4028 is
GCF of Numerators i.e. for 5488,1646 is 2
LCM of denominators i.e. for 792,4028 is 797544.
Thus, GCF of Fractions is 2/797544.Finally, GCF of Fractions for 5488/792, 1646/4028 is 2/797544.