GCF of 4/26, 32/99, 90/792, 734/677
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4/26, 32/99, 90/792, 734/677 i.e 2/6970392 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4/26, 32/99, 90/792, 734/677.
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 4/26,32/99,90/792,734/677?
Given fractions are 4/26,32/99,90/792,734/677
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 4/26,32/99,90/792,734/677, numerators are 4,32,90,734
Denominators are 26,99,792,677
The GCF of 4,32,90,734 is 2 .
LCM of 26,99,792,677 is 6970392.
The greatest common factor of 4/26,32/99,90/792,734/677 = [GCF of 4,32,90,734]/[LCM of 26,99,792,677]= 2/6970392
Therefore, the GCF of 4/26,32/99,90/792,734/677 is 2/6970392.
To find the highest common factor of 4,32,90,734, we have to find the factors of both numbers and list the highest common factor.
The factors of 4 are 1, 2, 4
The factors of 32 are 1, 2, 4, 8, 16, 32
The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
The factors of 734 are 1, 2, 367, 734
The HCF of 4,32,90,734 is 2.
Lets's calculate GCF of 4,32,90,734
| 2 | 4, 32, 90, 734 |
| 2, 16, 45, 367 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4,32,90,734 By Matching Biggest Common Factor Method
Now, list down the factors of 4
:1,2,4
Now, list down the factors of 32
:1,2,4,8,16,32
Now, list down the factors of 90
:1,2,3,5,6,9,10,15,18,30,45,90
Now, list down the factors of 734
:1,2,367,734
Greatest Common Factor
We found the factors 4,32,90,734 . The biggest common factor number is the GCF number.
So the greatest common factor 4,32,90,734 is 2.
Lets's calculate LCM of 26,99,792,677
| 2 | 26, 99, 792, 677 |
| 3 | 13, 99, 396, 677 |
| 3 | 13, 33, 132, 677 |
| 11 | 13, 11, 44, 677 |
| 13, 1, 4, 677 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 11 x 13 x 1 x 4 x 677 = 6970392
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6970392
Therefore, the GCF of Fractions 4/26,32/99,90/792,734/677 is 2/6970392
Least Common Multiple of 26,99,792,677 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 26,99,792,677 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,99,792,677) = 1
common factors(in case of two or more numbers have common factors) = 198
GCF(26,99,792,677) x common factors =1 x 198 = 198
LCM(26,99,792,677) = ( 26 × 99 × 792 × 677 ) / 198
LCM(26,99,792,677) = 1380137616 / 198
LCM(26,99,792,677) = 6970392
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FAQs on GCF of Fractions of 4/26, 32/99, 90/792, 734/677
1. What is the HCF of 4,32,90,734?
The HCF of 4,32,90,734 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 4/26, 32/99, 90/792, 734/677?
Answer: GCF of Numerators as per given numbers 4/26, 32/99, 90/792, 734/677 is
GCF of Numerators i.e. for 4,32,90,734 is 2
LCM of denominators i.e. for 26,99,792,677 is 6970392.
Thus, GCF of Fractions is 2/6970392.Finally, GCF of Fractions for 4/26, 32/99, 90/792, 734/677 is 2/6970392.