GCF of 9074/536, 6572/9782
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9074/536, 6572/9782 i.e 2/39128 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9074/536, 6572/9782.
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 9074/536,6572/9782?
Given fractions are 9074/536,6572/9782
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 9074/536,6572/9782, numerators are 9074,6572
Denominators are 536,9782
The GCF of 9074,6572 is 2 .
LCM of 536,9782 is 39128.
The greatest common factor of 9074/536,6572/9782 = [GCF of 9074,6572]/[LCM of 536,9782]= 2/39128
Therefore, the GCF of 9074/536,6572/9782 is 2/39128.
To find the highest common factor of 9074,6572, we have to find the factors of both numbers and list the highest common factor.
The factors of 9074 are 1, 2, 13, 26, 349, 698, 4537, 9074
The factors of 6572 are 1, 2, 4, 31, 53, 62, 106, 124, 212, 1643, 3286, 6572
The HCF of 9074,6572 is 2.
Lets's calculate GCF of 9074,6572
| 2 | 9074, 6572 |
| 4537, 3286 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9074,6572 By Matching Biggest Common Factor Method
Now, list down the factors of 9074
:1,2,13,26,349,698,4537,9074
Now, list down the factors of 6572
:1,2,4,31,53,62,106,124,212,1643,3286,6572
Greatest Common Factor
We found the factors 9074,6572 . The biggest common factor number is the GCF number.
So the greatest common factor 9074,6572 is 2.
Lets's calculate LCM of 536,9782
| 2 | 536, 9782 |
| 67 | 268, 4891 |
| 4, 73 |
∴ So the LCM of the given numbers is 2 x 67 x 4 x 73 = 39128
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/39128
Therefore, the GCF of Fractions 9074/536,6572/9782 is 2/39128
Least Common Multiple of 536,9782 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 536,9782 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(536,9782) = 134
common factors(in case of two or more numbers have common factors) = 1
GCF(536,9782) x common factors =134 x 1 = 134
LCM(536,9782) = ( 536 × 9782 ) / 134
LCM(536,9782) = 5243152 / 134
LCM(536,9782) = 39128
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FAQs on GCF of Fractions of 9074/536, 6572/9782
1. What is the HCF of 9074,6572?
The HCF of 9074,6572 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 9074/536, 6572/9782?
Answer: GCF of Numerators as per given numbers 9074/536, 6572/9782 is
GCF of Numerators i.e. for 9074,6572 is 2
LCM of denominators i.e. for 536,9782 is 39128.
Thus, GCF of Fractions is 2/39128.Finally, GCF of Fractions for 9074/536, 6572/9782 is 2/39128.