GCF of 5325/504, 1400/9264
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5325/504, 1400/9264 i.e 25/194544 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5325/504, 1400/9264.
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 5325/504,1400/9264?
Given fractions are 5325/504,1400/9264
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 5325/504,1400/9264, numerators are 5325,1400
Denominators are 504,9264
The GCF of 5325,1400 is 25 .
LCM of 504,9264 is 194544.
The greatest common factor of 5325/504,1400/9264 = [GCF of 5325,1400]/[LCM of 504,9264]= 25/194544
Therefore, the GCF of 5325/504,1400/9264 is 25/194544.
To find the highest common factor of 5325,1400, we have to find the factors of both numbers and list the highest common factor.
The factors of 5325 are 1, 3, 5, 15, 25, 71, 75, 213, 355, 1065, 1775, 5325
The factors of 1400 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 50, 56, 70, 100, 140, 175, 200, 280, 350, 700, 1400
The HCF of 5325,1400 is 25.
Lets's calculate GCF of 5325,1400
| 5 | 5325, 1400 |
| 5 | 1065, 280 |
| 213, 56 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Greatest Common Factor of 5325,1400 By Matching Biggest Common Factor Method
Now, list down the factors of 5325
:1,3,5,15,25,71,75,213,355,1065,1775,5325
Now, list down the factors of 1400
:1,2,4,5,7,8,10,14,20,25,28,35,40,50,56,70,100,140,175,200,280,350,700,1400
Greatest Common Factor
We found the factors 5325,1400 . The biggest common factor number is the GCF number.
So the greatest common factor 5325,1400 is 25.
Lets's calculate LCM of 504,9264
| 2 | 504, 9264 |
| 2 | 252, 4632 |
| 2 | 126, 2316 |
| 3 | 63, 1158 |
| 21, 386 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 21 x 386 = 194544
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/194544
Therefore, the GCF of Fractions 5325/504,1400/9264 is 25/194544
Least Common Multiple of 504,9264 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 504,9264 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(504,9264) = 24
common factors(in case of two or more numbers have common factors) = 1
GCF(504,9264) x common factors =24 x 1 = 24
LCM(504,9264) = ( 504 × 9264 ) / 24
LCM(504,9264) = 4669056 / 24
LCM(504,9264) = 194544
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FAQs on GCF of Fractions of 5325/504, 1400/9264
1. What is the HCF of 5325,1400?
The HCF of 5325,1400 is 25
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 5325/504, 1400/9264?
Answer: GCF of Numerators as per given numbers 5325/504, 1400/9264 is
GCF of Numerators i.e. for 5325,1400 is 25
LCM of denominators i.e. for 504,9264 is 194544.
Thus, GCF of Fractions is 25/194544.Finally, GCF of Fractions for 5325/504, 1400/9264 is 25/194544.