GCF of 374/44, 704/106
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 374/44, 704/106 i.e 22/2332 easily. The following is the detailed procedure to determine the greatest common factor of fractions 374/44, 704/106.
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 374/44,704/106?
Given fractions are 374/44,704/106
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 374/44,704/106, numerators are 374,704
Denominators are 44,106
The GCF of 374,704 is 22 .
LCM of 44,106 is 2332.
The greatest common factor of 374/44,704/106 = [GCF of 374,704]/[LCM of 44,106]= 22/2332
Therefore, the GCF of 374/44,704/106 is 22/2332.
To find the highest common factor of 374,704, we have to find the factors of both numbers and list the highest common factor.
The factors of 374 are 1, 2, 11, 17, 22, 34, 187, 374
The factors of 704 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
The HCF of 374,704 is 22.
Lets's calculate GCF of 374,704
| 2 | 374, 704 |
| 11 | 187, 352 |
| 17, 32 |
∴ So the GCF of the given numbers is 2 x 11 = 22
Greatest Common Factor of 374,704 By Matching Biggest Common Factor Method
Now, list down the factors of 374
:1,2,11,17,22,34,187,374
Now, list down the factors of 704
:1,2,4,8,11,16,22,32,44,64,88,176,352,704
Greatest Common Factor
We found the factors 374,704 . The biggest common factor number is the GCF number.
So the greatest common factor 374,704 is 22.
Lets's calculate LCM of 44,106
| 2 | 44, 106 |
| 22, 53 |
∴ So the LCM of the given numbers is 2 x 22 x 53 = 2332
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/2332
Therefore, the GCF of Fractions 374/44,704/106 is 22/2332
Least Common Multiple of 44,106 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 44,106 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,106) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(44,106) x common factors =2 x 1 = 2
LCM(44,106) = ( 44 × 106 ) / 2
LCM(44,106) = 4664 / 2
LCM(44,106) = 2332
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 374/44, 704/106
1. What is the HCF of 374,704?
The HCF of 374,704 is 22
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 374/44, 704/106?
Answer: GCF of Numerators as per given numbers 374/44, 704/106 is
GCF of Numerators i.e. for 374,704 is 22
LCM of denominators i.e. for 44,106 is 2332.
Thus, GCF of Fractions is 22/2332.Finally, GCF of Fractions for 374/44, 704/106 is 22/2332.