GCF of 425/101, 990/708, 689/472
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 425/101, 990/708, 689/472 i.e 1/143016 easily. The following is the detailed procedure to determine the greatest common factor of fractions 425/101, 990/708, 689/472.
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 425/101,990/708,689/472?
Given fractions are 425/101,990/708,689/472
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 425/101,990/708,689/472, numerators are 425,990,689
Denominators are 101,708,472
The GCF of 425,990,689 is 1 .
LCM of 101,708,472 is 143016.
The greatest common factor of 425/101,990/708,689/472 = [GCF of 425,990,689]/[LCM of 101,708,472]= 1/143016
Therefore, the GCF of 425/101,990/708,689/472 is 1/143016.
To find the highest common factor of 425,990,689, we have to find the factors of both numbers and list the highest common factor.
The factors of 425 are 1, 5, 17, 25, 85, 425
The factors of 990 are 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
The factors of 689 are 1, 13, 53, 689
The HCF of 425,990,689 is 1.
Lets's calculate GCF of 425,990,689
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 425,990,689 By Matching Biggest Common Factor Method
Now, list down the factors of 425
:1,5,17,25,85,425
Now, list down the factors of 990
:1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990
Now, list down the factors of 689
:1,13,53,689
Greatest Common Factor
We found the factors 425,990,689 . The biggest common factor number is the GCF number.
So the greatest common factor 425,990,689 is 1.
Lets's calculate LCM of 101,708,472
| 2 | 101, 708, 472 |
| 2 | 101, 354, 236 |
| 59 | 101, 177, 118 |
| 101, 3, 2 |
∴ So the LCM of the given numbers is 2 x 2 x 59 x 101 x 3 x 2 = 143016
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/143016
Therefore, the GCF of Fractions 425/101,990/708,689/472 is 1/143016
Least Common Multiple of 101,708,472 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 101,708,472 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(101,708,472) = 1
common factors(in case of two or more numbers have common factors) = 236
GCF(101,708,472) x common factors =1 x 236 = 236
LCM(101,708,472) = ( 101 × 708 × 472 ) / 236
LCM(101,708,472) = 33751776 / 236
LCM(101,708,472) = 143016
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 425/101, 990/708, 689/472
1. What is the HCF of 425,990,689?
The HCF of 425,990,689 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 425/101, 990/708, 689/472?
Answer: GCF of Numerators as per given numbers 425/101, 990/708, 689/472 is
GCF of Numerators i.e. for 425,990,689 is 1
LCM of denominators i.e. for 101,708,472 is 143016.
Thus, GCF of Fractions is 1/143016.Finally, GCF of Fractions for 425/101, 990/708, 689/472 is 1/143016.