GCF of 4078/742, 9785/958
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4078/742, 9785/958 i.e 1/355418 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4078/742, 9785/958.
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 4078/742,9785/958?
Given fractions are 4078/742,9785/958
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 4078/742,9785/958, numerators are 4078,9785
Denominators are 742,958
The GCF of 4078,9785 is 1 .
LCM of 742,958 is 355418.
The greatest common factor of 4078/742,9785/958 = [GCF of 4078,9785]/[LCM of 742,958]= 1/355418
Therefore, the GCF of 4078/742,9785/958 is 1/355418.
To find the highest common factor of 4078,9785, we have to find the factors of both numbers and list the highest common factor.
The factors of 4078 are 1, 2, 2039, 4078
The factors of 9785 are 1, 5, 19, 95, 103, 515, 1957, 9785
The HCF of 4078,9785 is 1.
Lets's calculate GCF of 4078,9785
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4078,9785 By Matching Biggest Common Factor Method
Now, list down the factors of 4078
:1,2,2039,4078
Now, list down the factors of 9785
:1,5,19,95,103,515,1957,9785
Greatest Common Factor
We found the factors 4078,9785 . The biggest common factor number is the GCF number.
So the greatest common factor 4078,9785 is 1.
Lets's calculate LCM of 742,958
| 2 | 742, 958 |
| 371, 479 |
∴ So the LCM of the given numbers is 2 x 371 x 479 = 355418
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/355418
Therefore, the GCF of Fractions 4078/742,9785/958 is 1/355418
Least Common Multiple of 742,958 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 742,958 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(742,958) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(742,958) x common factors =2 x 1 = 2
LCM(742,958) = ( 742 × 958 ) / 2
LCM(742,958) = 710836 / 2
LCM(742,958) = 355418
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FAQs on GCF of Fractions of 4078/742, 9785/958
1. What is the HCF of 4078,9785?
The HCF of 4078,9785 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 4078/742, 9785/958?
Answer: GCF of Numerators as per given numbers 4078/742, 9785/958 is
GCF of Numerators i.e. for 4078,9785 is 1
LCM of denominators i.e. for 742,958 is 355418.
Thus, GCF of Fractions is 1/355418.Finally, GCF of Fractions for 4078/742, 9785/958 is 1/355418.