GCF of 9355/224, 8996/2430
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9355/224, 8996/2430 i.e 1/272160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9355/224, 8996/2430.
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 9355/224,8996/2430?
Given fractions are 9355/224,8996/2430
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 9355/224,8996/2430, numerators are 9355,8996
Denominators are 224,2430
The GCF of 9355,8996 is 1 .
LCM of 224,2430 is 272160.
The greatest common factor of 9355/224,8996/2430 = [GCF of 9355,8996]/[LCM of 224,2430]= 1/272160
Therefore, the GCF of 9355/224,8996/2430 is 1/272160.
To find the highest common factor of 9355,8996, we have to find the factors of both numbers and list the highest common factor.
The factors of 9355 are 1, 5, 1871, 9355
The factors of 8996 are 1, 2, 4, 13, 26, 52, 173, 346, 692, 2249, 4498, 8996
The HCF of 9355,8996 is 1.
Lets's calculate GCF of 9355,8996
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9355,8996 By Matching Biggest Common Factor Method
Now, list down the factors of 9355
:1,5,1871,9355
Now, list down the factors of 8996
:1,2,4,13,26,52,173,346,692,2249,4498,8996
Greatest Common Factor
We found the factors 9355,8996 . The biggest common factor number is the GCF number.
So the greatest common factor 9355,8996 is 1.
Lets's calculate LCM of 224,2430
| 2 | 224, 2430 |
| 112, 1215 |
∴ So the LCM of the given numbers is 2 x 112 x 1215 = 272160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/272160
Therefore, the GCF of Fractions 9355/224,8996/2430 is 1/272160
Least Common Multiple of 224,2430 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 224,2430 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(224,2430) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(224,2430) x common factors =2 x 1 = 2
LCM(224,2430) = ( 224 × 2430 ) / 2
LCM(224,2430) = 544320 / 2
LCM(224,2430) = 272160
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FAQs on GCF of Fractions of 9355/224, 8996/2430
1. What is the HCF of 9355,8996?
The HCF of 9355,8996 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 9355/224, 8996/2430?
Answer: GCF of Numerators as per given numbers 9355/224, 8996/2430 is
GCF of Numerators i.e. for 9355,8996 is 1
LCM of denominators i.e. for 224,2430 is 272160.
Thus, GCF of Fractions is 1/272160.Finally, GCF of Fractions for 9355/224, 8996/2430 is 1/272160.