GCF of 1385/949, 7142/584
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1385/949, 7142/584 i.e 1/7592 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1385/949, 7142/584.
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 1385/949,7142/584?
Given fractions are 1385/949,7142/584
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 1385/949,7142/584, numerators are 1385,7142
Denominators are 949,584
The GCF of 1385,7142 is 1 .
LCM of 949,584 is 7592.
The greatest common factor of 1385/949,7142/584 = [GCF of 1385,7142]/[LCM of 949,584]= 1/7592
Therefore, the GCF of 1385/949,7142/584 is 1/7592.
To find the highest common factor of 1385,7142, we have to find the factors of both numbers and list the highest common factor.
The factors of 1385 are 1, 5, 277, 1385
The factors of 7142 are 1, 2, 3571, 7142
The HCF of 1385,7142 is 1.
Lets's calculate GCF of 1385,7142
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1385,7142 By Matching Biggest Common Factor Method
Now, list down the factors of 1385
:1,5,277,1385
Now, list down the factors of 7142
:1,2,3571,7142
Greatest Common Factor
We found the factors 1385,7142 . The biggest common factor number is the GCF number.
So the greatest common factor 1385,7142 is 1.
Lets's calculate LCM of 949,584
| 73 | 949, 584 |
| 13, 8 |
∴ So the LCM of the given numbers is 73 x 13 x 8 = 7592
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7592
Therefore, the GCF of Fractions 1385/949,7142/584 is 1/7592
Least Common Multiple of 949,584 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 949,584 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(949,584) = 73
common factors(in case of two or more numbers have common factors) = 1
GCF(949,584) x common factors =73 x 1 = 73
LCM(949,584) = ( 949 × 584 ) / 73
LCM(949,584) = 554216 / 73
LCM(949,584) = 7592
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FAQs on GCF of Fractions of 1385/949, 7142/584
1. What is the HCF of 1385,7142?
The HCF of 1385,7142 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 1385/949, 7142/584?
Answer: GCF of Numerators as per given numbers 1385/949, 7142/584 is
GCF of Numerators i.e. for 1385,7142 is 1
LCM of denominators i.e. for 949,584 is 7592.
Thus, GCF of Fractions is 1/7592.Finally, GCF of Fractions for 1385/949, 7142/584 is 1/7592.