GCF of 454/972, 782/934
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 454/972, 782/934 i.e 2/453924 easily. The following is the detailed procedure to determine the greatest common factor of fractions 454/972, 782/934.
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 454/972,782/934?
Given fractions are 454/972,782/934
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 454/972,782/934, numerators are 454,782
Denominators are 972,934
The GCF of 454,782 is 2 .
LCM of 972,934 is 453924.
The greatest common factor of 454/972,782/934 = [GCF of 454,782]/[LCM of 972,934]= 2/453924
Therefore, the GCF of 454/972,782/934 is 2/453924.
To find the highest common factor of 454,782, we have to find the factors of both numbers and list the highest common factor.
The factors of 454 are 1, 2, 227, 454
The factors of 782 are 1, 2, 17, 23, 34, 46, 391, 782
The HCF of 454,782 is 2.
Lets's calculate GCF of 454,782
| 2 | 454, 782 |
| 227, 391 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 454,782 By Matching Biggest Common Factor Method
Now, list down the factors of 454
:1,2,227,454
Now, list down the factors of 782
:1,2,17,23,34,46,391,782
Greatest Common Factor
We found the factors 454,782 . The biggest common factor number is the GCF number.
So the greatest common factor 454,782 is 2.
Lets's calculate LCM of 972,934
| 2 | 972, 934 |
| 486, 467 |
∴ So the LCM of the given numbers is 2 x 486 x 467 = 453924
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/453924
Therefore, the GCF of Fractions 454/972,782/934 is 2/453924
Least Common Multiple of 972,934 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 972,934 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(972,934) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(972,934) x common factors =2 x 1 = 2
LCM(972,934) = ( 972 × 934 ) / 2
LCM(972,934) = 907848 / 2
LCM(972,934) = 453924
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 454/972, 782/934
1. What is the HCF of 454,782?
The HCF of 454,782 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 454/972, 782/934?
Answer: GCF of Numerators as per given numbers 454/972, 782/934 is
GCF of Numerators i.e. for 454,782 is 2
LCM of denominators i.e. for 972,934 is 453924.
Thus, GCF of Fractions is 2/453924.Finally, GCF of Fractions for 454/972, 782/934 is 2/453924.