GCF of 7305/975, 5428/7055
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7305/975, 5428/7055 i.e 1/1375725 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7305/975, 5428/7055.
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 7305/975,5428/7055?
Given fractions are 7305/975,5428/7055
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 7305/975,5428/7055, numerators are 7305,5428
Denominators are 975,7055
The GCF of 7305,5428 is 1 .
LCM of 975,7055 is 1375725.
The greatest common factor of 7305/975,5428/7055 = [GCF of 7305,5428]/[LCM of 975,7055]= 1/1375725
Therefore, the GCF of 7305/975,5428/7055 is 1/1375725.
To find the highest common factor of 7305,5428, we have to find the factors of both numbers and list the highest common factor.
The factors of 7305 are 1, 3, 5, 15, 487, 1461, 2435, 7305
The factors of 5428 are 1, 2, 4, 23, 46, 59, 92, 118, 236, 1357, 2714, 5428
The HCF of 7305,5428 is 1.
Lets's calculate GCF of 7305,5428
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7305,5428 By Matching Biggest Common Factor Method
Now, list down the factors of 7305
:1,3,5,15,487,1461,2435,7305
Now, list down the factors of 5428
:1,2,4,23,46,59,92,118,236,1357,2714,5428
Greatest Common Factor
We found the factors 7305,5428 . The biggest common factor number is the GCF number.
So the greatest common factor 7305,5428 is 1.
Lets's calculate LCM of 975,7055
| 5 | 975, 7055 |
| 195, 1411 |
∴ So the LCM of the given numbers is 5 x 195 x 1411 = 1375725
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1375725
Therefore, the GCF of Fractions 7305/975,5428/7055 is 1/1375725
Least Common Multiple of 975,7055 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 975,7055 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(975,7055) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(975,7055) x common factors =5 x 1 = 5
LCM(975,7055) = ( 975 × 7055 ) / 5
LCM(975,7055) = 6878625 / 5
LCM(975,7055) = 1375725
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FAQs on GCF of Fractions of 7305/975, 5428/7055
1. What is the HCF of 7305,5428?
The HCF of 7305,5428 is 1
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 7305/975, 5428/7055?
Answer: GCF of Numerators as per given numbers 7305/975, 5428/7055 is
GCF of Numerators i.e. for 7305,5428 is 1
LCM of denominators i.e. for 975,7055 is 1375725.
Thus, GCF of Fractions is 1/1375725.Finally, GCF of Fractions for 7305/975, 5428/7055 is 1/1375725.