GCF of 9092/558, 5622/7599
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9092/558, 5622/7599 i.e 2/1413414 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9092/558, 5622/7599.
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 9092/558,5622/7599?
Given fractions are 9092/558,5622/7599
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 9092/558,5622/7599, numerators are 9092,5622
Denominators are 558,7599
The GCF of 9092,5622 is 2 .
LCM of 558,7599 is 1413414.
The greatest common factor of 9092/558,5622/7599 = [GCF of 9092,5622]/[LCM of 558,7599]= 2/1413414
Therefore, the GCF of 9092/558,5622/7599 is 2/1413414.
To find the highest common factor of 9092,5622, we have to find the factors of both numbers and list the highest common factor.
The factors of 9092 are 1, 2, 4, 2273, 4546, 9092
The factors of 5622 are 1, 2, 3, 6, 937, 1874, 2811, 5622
The HCF of 9092,5622 is 2.
Lets's calculate GCF of 9092,5622
| 2 | 9092, 5622 |
| 4546, 2811 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9092,5622 By Matching Biggest Common Factor Method
Now, list down the factors of 9092
:1,2,4,2273,4546,9092
Now, list down the factors of 5622
:1,2,3,6,937,1874,2811,5622
Greatest Common Factor
We found the factors 9092,5622 . The biggest common factor number is the GCF number.
So the greatest common factor 9092,5622 is 2.
Lets's calculate LCM of 558,7599
| 3 | 558, 7599 |
| 186, 2533 |
∴ So the LCM of the given numbers is 3 x 186 x 2533 = 1413414
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1413414
Therefore, the GCF of Fractions 9092/558,5622/7599 is 2/1413414
Least Common Multiple of 558,7599 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 558,7599 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(558,7599) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(558,7599) x common factors =3 x 1 = 3
LCM(558,7599) = ( 558 × 7599 ) / 3
LCM(558,7599) = 4240242 / 3
LCM(558,7599) = 1413414
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FAQs on GCF of Fractions of 9092/558, 5622/7599
1. What is the HCF of 9092,5622?
The HCF of 9092,5622 is 2
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 9092/558, 5622/7599?
Answer: GCF of Numerators as per given numbers 9092/558, 5622/7599 is
GCF of Numerators i.e. for 9092,5622 is 2
LCM of denominators i.e. for 558,7599 is 1413414.
Thus, GCF of Fractions is 2/1413414.Finally, GCF of Fractions for 9092/558, 5622/7599 is 2/1413414.