GCF of 7575/700, 4290/9213
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7575/700, 4290/9213 i.e 15/6449100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7575/700, 4290/9213.
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 7575/700,4290/9213?
Given fractions are 7575/700,4290/9213
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 7575/700,4290/9213, numerators are 7575,4290
Denominators are 700,9213
The GCF of 7575,4290 is 15 .
LCM of 700,9213 is 6449100.
The greatest common factor of 7575/700,4290/9213 = [GCF of 7575,4290]/[LCM of 700,9213]= 15/6449100
Therefore, the GCF of 7575/700,4290/9213 is 15/6449100.
To find the highest common factor of 7575,4290, we have to find the factors of both numbers and list the highest common factor.
The factors of 7575 are 1, 3, 5, 15, 25, 75, 101, 303, 505, 1515, 2525, 7575
The factors of 4290 are 1, 2, 3, 5, 6, 10, 11, 13, 15, 22, 26, 30, 33, 39, 55, 65, 66, 78, 110, 130, 143, 165, 195, 286, 330, 390, 429, 715, 858, 1430, 2145, 4290
The HCF of 7575,4290 is 15.
Lets's calculate GCF of 7575,4290
| 3 | 7575, 4290 |
| 5 | 2525, 1430 |
| 505, 286 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 7575,4290 By Matching Biggest Common Factor Method
Now, list down the factors of 7575
:1,3,5,15,25,75,101,303,505,1515,2525,7575
Now, list down the factors of 4290
:1,2,3,5,6,10,11,13,15,22,26,30,33,39,55,65,66,78,110,130,143,165,195,286,330,390,429,715,858,1430,2145,4290
Greatest Common Factor
We found the factors 7575,4290 . The biggest common factor number is the GCF number.
So the greatest common factor 7575,4290 is 15.
Lets's calculate LCM of 700,9213
Given numbers has no common factors except 1. So, there LCM is their product i.e 6449100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/6449100
Therefore, the GCF of Fractions 7575/700,4290/9213 is 15/6449100
Least Common Multiple of 700,9213 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 700,9213 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(700,9213) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(700,9213) x common factors =1 x 1 = 1
LCM(700,9213) = ( 700 × 9213 ) / 1
LCM(700,9213) = 6449100 / 1
LCM(700,9213) = 6449100
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FAQs on GCF of Fractions of 7575/700, 4290/9213
1. What is the HCF of 7575,4290?
The HCF of 7575,4290 is 15
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 7575/700, 4290/9213?
Answer: GCF of Numerators as per given numbers 7575/700, 4290/9213 is
GCF of Numerators i.e. for 7575,4290 is 15
LCM of denominators i.e. for 700,9213 is 6449100.
Thus, GCF of Fractions is 15/6449100.Finally, GCF of Fractions for 7575/700, 4290/9213 is 15/6449100.