GCF of 7586/160, 2823/3494
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7586/160, 2823/3494 i.e 1/279520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7586/160, 2823/3494.
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 7586/160,2823/3494?
Given fractions are 7586/160,2823/3494
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 7586/160,2823/3494, numerators are 7586,2823
Denominators are 160,3494
The GCF of 7586,2823 is 1 .
LCM of 160,3494 is 279520.
The greatest common factor of 7586/160,2823/3494 = [GCF of 7586,2823]/[LCM of 160,3494]= 1/279520
Therefore, the GCF of 7586/160,2823/3494 is 1/279520.
To find the highest common factor of 7586,2823, we have to find the factors of both numbers and list the highest common factor.
The factors of 7586 are 1, 2, 3793, 7586
The factors of 2823 are 1, 3, 941, 2823
The HCF of 7586,2823 is 1.
Lets's calculate GCF of 7586,2823
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7586,2823 By Matching Biggest Common Factor Method
Now, list down the factors of 7586
:1,2,3793,7586
Now, list down the factors of 2823
:1,3,941,2823
Greatest Common Factor
We found the factors 7586,2823 . The biggest common factor number is the GCF number.
So the greatest common factor 7586,2823 is 1.
Lets's calculate LCM of 160,3494
| 2 | 160, 3494 |
| 80, 1747 |
∴ So the LCM of the given numbers is 2 x 80 x 1747 = 279520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/279520
Therefore, the GCF of Fractions 7586/160,2823/3494 is 1/279520
Least Common Multiple of 160,3494 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 160,3494 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(160,3494) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(160,3494) x common factors =2 x 1 = 2
LCM(160,3494) = ( 160 × 3494 ) / 2
LCM(160,3494) = 559040 / 2
LCM(160,3494) = 279520
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FAQs on GCF of Fractions of 7586/160, 2823/3494
1. What is the HCF of 7586,2823?
The HCF of 7586,2823 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 7586/160, 2823/3494?
Answer: GCF of Numerators as per given numbers 7586/160, 2823/3494 is
GCF of Numerators i.e. for 7586,2823 is 1
LCM of denominators i.e. for 160,3494 is 279520.
Thus, GCF of Fractions is 1/279520.Finally, GCF of Fractions for 7586/160, 2823/3494 is 1/279520.