GCF of 4280/561, 7265/5322
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4280/561, 7265/5322 i.e 5/995214 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4280/561, 7265/5322.
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 4280/561,7265/5322?
Given fractions are 4280/561,7265/5322
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 4280/561,7265/5322, numerators are 4280,7265
Denominators are 561,5322
The GCF of 4280,7265 is 5 .
LCM of 561,5322 is 995214.
The greatest common factor of 4280/561,7265/5322 = [GCF of 4280,7265]/[LCM of 561,5322]= 5/995214
Therefore, the GCF of 4280/561,7265/5322 is 5/995214.
To find the highest common factor of 4280,7265, we have to find the factors of both numbers and list the highest common factor.
The factors of 4280 are 1, 2, 4, 5, 8, 10, 20, 40, 107, 214, 428, 535, 856, 1070, 2140, 4280
The factors of 7265 are 1, 5, 1453, 7265
The HCF of 4280,7265 is 5.
Lets's calculate GCF of 4280,7265
| 5 | 4280, 7265 |
| 856, 1453 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 4280,7265 By Matching Biggest Common Factor Method
Now, list down the factors of 4280
:1,2,4,5,8,10,20,40,107,214,428,535,856,1070,2140,4280
Now, list down the factors of 7265
:1,5,1453,7265
Greatest Common Factor
We found the factors 4280,7265 . The biggest common factor number is the GCF number.
So the greatest common factor 4280,7265 is 5.
Lets's calculate LCM of 561,5322
| 3 | 561, 5322 |
| 187, 1774 |
∴ So the LCM of the given numbers is 3 x 187 x 1774 = 995214
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/995214
Therefore, the GCF of Fractions 4280/561,7265/5322 is 5/995214
Least Common Multiple of 561,5322 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 561,5322 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(561,5322) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(561,5322) x common factors =3 x 1 = 3
LCM(561,5322) = ( 561 × 5322 ) / 3
LCM(561,5322) = 2985642 / 3
LCM(561,5322) = 995214
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FAQs on GCF of Fractions of 4280/561, 7265/5322
1. What is the HCF of 4280,7265?
The HCF of 4280,7265 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 4280/561, 7265/5322?
Answer: GCF of Numerators as per given numbers 4280/561, 7265/5322 is
GCF of Numerators i.e. for 4280,7265 is 5
LCM of denominators i.e. for 561,5322 is 995214.
Thus, GCF of Fractions is 5/995214.Finally, GCF of Fractions for 4280/561, 7265/5322 is 5/995214.