GCF of 457/704, 3442/992
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 457/704, 3442/992 i.e 1/21824 easily. The following is the detailed procedure to determine the greatest common factor of fractions 457/704, 3442/992.
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 457/704,3442/992?
Given fractions are 457/704,3442/992
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 457/704,3442/992, numerators are 457,3442
Denominators are 704,992
The GCF of 457,3442 is 1 .
LCM of 704,992 is 21824.
The greatest common factor of 457/704,3442/992 = [GCF of 457,3442]/[LCM of 704,992]= 1/21824
Therefore, the GCF of 457/704,3442/992 is 1/21824.
To find the highest common factor of 457,3442, we have to find the factors of both numbers and list the highest common factor.
The factors of 457 are 1, 457
The factors of 3442 are 1, 2, 1721, 3442
The HCF of 457,3442 is 1.
Lets's calculate GCF of 457,3442
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 457,3442 By Matching Biggest Common Factor Method
Now, list down the factors of 457
:1,457
Now, list down the factors of 3442
:1,2,1721,3442
Greatest Common Factor
We found the factors 457,3442 . The biggest common factor number is the GCF number.
So the greatest common factor 457,3442 is 1.
Lets's calculate LCM of 704,992
| 2 | 704, 992 |
| 2 | 352, 496 |
| 2 | 176, 248 |
| 2 | 88, 124 |
| 2 | 44, 62 |
| 22, 31 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 22 x 31 = 21824
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21824
Therefore, the GCF of Fractions 457/704,3442/992 is 1/21824
Least Common Multiple of 704,992 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 704,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(704,992) = 32
common factors(in case of two or more numbers have common factors) = 1
GCF(704,992) x common factors =32 x 1 = 32
LCM(704,992) = ( 704 × 992 ) / 32
LCM(704,992) = 698368 / 32
LCM(704,992) = 21824
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FAQs on GCF of Fractions of 457/704, 3442/992
1. What is the HCF of 457,3442?
The HCF of 457,3442 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 457/704, 3442/992?
Answer: GCF of Numerators as per given numbers 457/704, 3442/992 is
GCF of Numerators i.e. for 457,3442 is 1
LCM of denominators i.e. for 704,992 is 21824.
Thus, GCF of Fractions is 1/21824.Finally, GCF of Fractions for 457/704, 3442/992 is 1/21824.