GCF of 3865/421, 9475/224
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3865/421, 9475/224 i.e 5/94304 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3865/421, 9475/224.
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 3865/421,9475/224?
Given fractions are 3865/421,9475/224
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 3865/421,9475/224, numerators are 3865,9475
Denominators are 421,224
The GCF of 3865,9475 is 5 .
LCM of 421,224 is 94304.
The greatest common factor of 3865/421,9475/224 = [GCF of 3865,9475]/[LCM of 421,224]= 5/94304
Therefore, the GCF of 3865/421,9475/224 is 5/94304.
To find the highest common factor of 3865,9475, we have to find the factors of both numbers and list the highest common factor.
The factors of 3865 are 1, 5, 773, 3865
The factors of 9475 are 1, 5, 25, 379, 1895, 9475
The HCF of 3865,9475 is 5.
Lets's calculate GCF of 3865,9475
| 5 | 3865, 9475 |
| 773, 1895 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 3865,9475 By Matching Biggest Common Factor Method
Now, list down the factors of 3865
:1,5,773,3865
Now, list down the factors of 9475
:1,5,25,379,1895,9475
Greatest Common Factor
We found the factors 3865,9475 . The biggest common factor number is the GCF number.
So the greatest common factor 3865,9475 is 5.
Lets's calculate LCM of 421,224
Given numbers has no common factors except 1. So, there LCM is their product i.e 94304
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/94304
Therefore, the GCF of Fractions 3865/421,9475/224 is 5/94304
Least Common Multiple of 421,224 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 421,224 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(421,224) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(421,224) x common factors =1 x 1 = 1
LCM(421,224) = ( 421 × 224 ) / 1
LCM(421,224) = 94304 / 1
LCM(421,224) = 94304
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FAQs on GCF of Fractions of 3865/421, 9475/224
1. What is the HCF of 3865,9475?
The HCF of 3865,9475 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 3865/421, 9475/224?
Answer: GCF of Numerators as per given numbers 3865/421, 9475/224 is
GCF of Numerators i.e. for 3865,9475 is 5
LCM of denominators i.e. for 421,224 is 94304.
Thus, GCF of Fractions is 5/94304.Finally, GCF of Fractions for 3865/421, 9475/224 is 5/94304.