GCF of 9245/504, 3485/427
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9245/504, 3485/427 i.e 5/30744 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9245/504, 3485/427.
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 9245/504,3485/427?
Given fractions are 9245/504,3485/427
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 9245/504,3485/427, numerators are 9245,3485
Denominators are 504,427
The GCF of 9245,3485 is 5 .
LCM of 504,427 is 30744.
The greatest common factor of 9245/504,3485/427 = [GCF of 9245,3485]/[LCM of 504,427]= 5/30744
Therefore, the GCF of 9245/504,3485/427 is 5/30744.
To find the highest common factor of 9245,3485, we have to find the factors of both numbers and list the highest common factor.
The factors of 9245 are 1, 5, 43, 215, 1849, 9245
The factors of 3485 are 1, 5, 17, 41, 85, 205, 697, 3485
The HCF of 9245,3485 is 5.
Lets's calculate GCF of 9245,3485
| 5 | 9245, 3485 |
| 1849, 697 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 9245,3485 By Matching Biggest Common Factor Method
Now, list down the factors of 9245
:1,5,43,215,1849,9245
Now, list down the factors of 3485
:1,5,17,41,85,205,697,3485
Greatest Common Factor
We found the factors 9245,3485 . The biggest common factor number is the GCF number.
So the greatest common factor 9245,3485 is 5.
Lets's calculate LCM of 504,427
| 7 | 504, 427 |
| 72, 61 |
∴ So the LCM of the given numbers is 7 x 72 x 61 = 30744
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/30744
Therefore, the GCF of Fractions 9245/504,3485/427 is 5/30744
Least Common Multiple of 504,427 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 504,427 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(504,427) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(504,427) x common factors =7 x 1 = 7
LCM(504,427) = ( 504 × 427 ) / 7
LCM(504,427) = 215208 / 7
LCM(504,427) = 30744
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FAQs on GCF of Fractions of 9245/504, 3485/427
1. What is the HCF of 9245,3485?
The HCF of 9245,3485 is 5
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 9245/504, 3485/427?
Answer: GCF of Numerators as per given numbers 9245/504, 3485/427 is
GCF of Numerators i.e. for 9245,3485 is 5
LCM of denominators i.e. for 504,427 is 30744.
Thus, GCF of Fractions is 5/30744.Finally, GCF of Fractions for 9245/504, 3485/427 is 5/30744.