GCF of 9047/759, 5123/5230
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9047/759, 5123/5230 i.e 109/3969570 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9047/759, 5123/5230.
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 9047/759,5123/5230?
Given fractions are 9047/759,5123/5230
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 9047/759,5123/5230, numerators are 9047,5123
Denominators are 759,5230
The GCF of 9047,5123 is 109 .
LCM of 759,5230 is 3969570.
The greatest common factor of 9047/759,5123/5230 = [GCF of 9047,5123]/[LCM of 759,5230]= 109/3969570
Therefore, the GCF of 9047/759,5123/5230 is 109/3969570.
To find the highest common factor of 9047,5123, we have to find the factors of both numbers and list the highest common factor.
The factors of 9047 are 1, 83, 109, 9047
The factors of 5123 are 1, 47, 109, 5123
The HCF of 9047,5123 is 109.
Lets's calculate GCF of 9047,5123
| 109 | 9047, 5123 |
| 83, 47 |
∴ So the GCF of the given numbers is 109 = 109
Greatest Common Factor of 9047,5123 By Matching Biggest Common Factor Method
Now, list down the factors of 9047
:1,83,109,9047
Now, list down the factors of 5123
:1,47,109,5123
Greatest Common Factor
We found the factors 9047,5123 . The biggest common factor number is the GCF number.
So the greatest common factor 9047,5123 is 109.
Lets's calculate LCM of 759,5230
Given numbers has no common factors except 1. So, there LCM is their product i.e 3969570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 109/3969570
Therefore, the GCF of Fractions 9047/759,5123/5230 is 109/3969570
Least Common Multiple of 759,5230 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 759,5230 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(759,5230) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(759,5230) x common factors =1 x 1 = 1
LCM(759,5230) = ( 759 × 5230 ) / 1
LCM(759,5230) = 3969570 / 1
LCM(759,5230) = 3969570
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FAQs on GCF of Fractions of 9047/759, 5123/5230
1. What is the HCF of 9047,5123?
The HCF of 9047,5123 is 109
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 9047/759, 5123/5230?
Answer: GCF of Numerators as per given numbers 9047/759, 5123/5230 is
GCF of Numerators i.e. for 9047,5123 is 109
LCM of denominators i.e. for 759,5230 is 3969570.
Thus, GCF of Fractions is 109/3969570.Finally, GCF of Fractions for 9047/759, 5123/5230 is 109/3969570.