GCF of 38/97, 728/44, 912/607
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 38/97, 728/44, 912/607 i.e 2/2590676 easily. The following is the detailed procedure to determine the greatest common factor of fractions 38/97, 728/44, 912/607.
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 38/97,728/44,912/607?
Given fractions are 38/97,728/44,912/607
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 38/97,728/44,912/607, numerators are 38,728,912
Denominators are 97,44,607
The GCF of 38,728,912 is 2 .
LCM of 97,44,607 is 2590676.
The greatest common factor of 38/97,728/44,912/607 = [GCF of 38,728,912]/[LCM of 97,44,607]= 2/2590676
Therefore, the GCF of 38/97,728/44,912/607 is 2/2590676.
To find the highest common factor of 38,728,912, we have to find the factors of both numbers and list the highest common factor.
The factors of 38 are 1, 2, 19, 38
The factors of 728 are 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
The factors of 912 are 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
The HCF of 38,728,912 is 2.
Lets's calculate GCF of 38,728,912
| 2 | 38, 728, 912 |
| 19, 364, 456 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 38,728,912 By Matching Biggest Common Factor Method
Now, list down the factors of 38
:1,2,19,38
Now, list down the factors of 728
:1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728
Now, list down the factors of 912
:1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912
Greatest Common Factor
We found the factors 38,728,912 . The biggest common factor number is the GCF number.
So the greatest common factor 38,728,912 is 2.
Lets's calculate LCM of 97,44,607
Given numbers has no common factors except 1. So, there LCM is their product i.e 2590676
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2590676
Therefore, the GCF of Fractions 38/97,728/44,912/607 is 2/2590676
Least Common Multiple of 97,44,607 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 97,44,607 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,44,607) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,44,607) x common factors =1 x 1 = 1
LCM(97,44,607) = ( 97 × 44 × 607 ) / 1
LCM(97,44,607) = 2590676 / 1
LCM(97,44,607) = 2590676
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FAQs on GCF of Fractions of 38/97, 728/44, 912/607
1. What is the HCF of 38,728,912?
The HCF of 38,728,912 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 38/97, 728/44, 912/607?
Answer: GCF of Numerators as per given numbers 38/97, 728/44, 912/607 is
GCF of Numerators i.e. for 38,728,912 is 2
LCM of denominators i.e. for 97,44,607 is 2590676.
Thus, GCF of Fractions is 2/2590676.Finally, GCF of Fractions for 38/97, 728/44, 912/607 is 2/2590676.