GCF of 20/44, 929/59, 674/928
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 20/44, 929/59, 674/928 i.e 1/602272 easily. The following is the detailed procedure to determine the greatest common factor of fractions 20/44, 929/59, 674/928.
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 20/44,929/59,674/928?
Given fractions are 20/44,929/59,674/928
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 20/44,929/59,674/928, numerators are 20,929,674
Denominators are 44,59,928
The GCF of 20,929,674 is 1 .
LCM of 44,59,928 is 602272.
The greatest common factor of 20/44,929/59,674/928 = [GCF of 20,929,674]/[LCM of 44,59,928]= 1/602272
Therefore, the GCF of 20/44,929/59,674/928 is 1/602272.
To find the highest common factor of 20,929,674, we have to find the factors of both numbers and list the highest common factor.
The factors of 20 are 1, 2, 4, 5, 10, 20
The factors of 929 are 1, 929
The factors of 674 are 1, 2, 337, 674
The HCF of 20,929,674 is 1.
Lets's calculate GCF of 20,929,674
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 20,929,674 By Matching Biggest Common Factor Method
Now, list down the factors of 20
:1,2,4,5,10,20
Now, list down the factors of 929
:1,929
Now, list down the factors of 674
:1,2,337,674
Greatest Common Factor
We found the factors 20,929,674 . The biggest common factor number is the GCF number.
So the greatest common factor 20,929,674 is 1.
Lets's calculate LCM of 44,59,928
| 2 | 44, 59, 928 |
| 2 | 22, 59, 464 |
| 11, 59, 232 |
∴ So the LCM of the given numbers is 2 x 2 x 11 x 59 x 232 = 602272
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/602272
Therefore, the GCF of Fractions 20/44,929/59,674/928 is 1/602272
Least Common Multiple of 44,59,928 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 44,59,928 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,59,928) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(44,59,928) x common factors =1 x 4 = 4
LCM(44,59,928) = ( 44 × 59 × 928 ) / 4
LCM(44,59,928) = 2409088 / 4
LCM(44,59,928) = 602272
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FAQs on GCF of Fractions of 20/44, 929/59, 674/928
1. What is the HCF of 20,929,674?
The HCF of 20,929,674 is 1
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 20/44, 929/59, 674/928?
Answer: GCF of Numerators as per given numbers 20/44, 929/59, 674/928 is
GCF of Numerators i.e. for 20,929,674 is 1
LCM of denominators i.e. for 44,59,928 is 602272.
Thus, GCF of Fractions is 1/602272.Finally, GCF of Fractions for 20/44, 929/59, 674/928 is 1/602272.