GCF of 9023/598, 9785/4117
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9023/598, 9785/4117 i.e 1/107042 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9023/598, 9785/4117.
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 9023/598,9785/4117?
Given fractions are 9023/598,9785/4117
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 9023/598,9785/4117, numerators are 9023,9785
Denominators are 598,4117
The GCF of 9023,9785 is 1 .
LCM of 598,4117 is 107042.
The greatest common factor of 9023/598,9785/4117 = [GCF of 9023,9785]/[LCM of 598,4117]= 1/107042
Therefore, the GCF of 9023/598,9785/4117 is 1/107042.
To find the highest common factor of 9023,9785, we have to find the factors of both numbers and list the highest common factor.
The factors of 9023 are 1, 7, 1289, 9023
The factors of 9785 are 1, 5, 19, 95, 103, 515, 1957, 9785
The HCF of 9023,9785 is 1.
Lets's calculate GCF of 9023,9785
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9023,9785 By Matching Biggest Common Factor Method
Now, list down the factors of 9023
:1,7,1289,9023
Now, list down the factors of 9785
:1,5,19,95,103,515,1957,9785
Greatest Common Factor
We found the factors 9023,9785 . The biggest common factor number is the GCF number.
So the greatest common factor 9023,9785 is 1.
Lets's calculate LCM of 598,4117
| 23 | 598, 4117 |
| 26, 179 |
∴ So the LCM of the given numbers is 23 x 26 x 179 = 107042
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/107042
Therefore, the GCF of Fractions 9023/598,9785/4117 is 1/107042
Least Common Multiple of 598,4117 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 598,4117 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(598,4117) = 23
common factors(in case of two or more numbers have common factors) = 1
GCF(598,4117) x common factors =23 x 1 = 23
LCM(598,4117) = ( 598 × 4117 ) / 23
LCM(598,4117) = 2461966 / 23
LCM(598,4117) = 107042
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FAQs on GCF of Fractions of 9023/598, 9785/4117
1. What is the HCF of 9023,9785?
The HCF of 9023,9785 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 9023/598, 9785/4117?
Answer: GCF of Numerators as per given numbers 9023/598, 9785/4117 is
GCF of Numerators i.e. for 9023,9785 is 1
LCM of denominators i.e. for 598,4117 is 107042.
Thus, GCF of Fractions is 1/107042.Finally, GCF of Fractions for 9023/598, 9785/4117 is 1/107042.