GCF of 3655/280, 9023/4380
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3655/280, 9023/4380 i.e 1/61320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3655/280, 9023/4380.
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 3655/280,9023/4380?
Given fractions are 3655/280,9023/4380
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 3655/280,9023/4380, numerators are 3655,9023
Denominators are 280,4380
The GCF of 3655,9023 is 1 .
LCM of 280,4380 is 61320.
The greatest common factor of 3655/280,9023/4380 = [GCF of 3655,9023]/[LCM of 280,4380]= 1/61320
Therefore, the GCF of 3655/280,9023/4380 is 1/61320.
To find the highest common factor of 3655,9023, we have to find the factors of both numbers and list the highest common factor.
The factors of 3655 are 1, 5, 17, 43, 85, 215, 731, 3655
The factors of 9023 are 1, 7, 1289, 9023
The HCF of 3655,9023 is 1.
Lets's calculate GCF of 3655,9023
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3655,9023 By Matching Biggest Common Factor Method
Now, list down the factors of 3655
:1,5,17,43,85,215,731,3655
Now, list down the factors of 9023
:1,7,1289,9023
Greatest Common Factor
We found the factors 3655,9023 . The biggest common factor number is the GCF number.
So the greatest common factor 3655,9023 is 1.
Lets's calculate LCM of 280,4380
| 2 | 280, 4380 |
| 2 | 140, 2190 |
| 5 | 70, 1095 |
| 14, 219 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 14 x 219 = 61320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61320
Therefore, the GCF of Fractions 3655/280,9023/4380 is 1/61320
Least Common Multiple of 280,4380 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 280,4380 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(280,4380) = 20
common factors(in case of two or more numbers have common factors) = 1
GCF(280,4380) x common factors =20 x 1 = 20
LCM(280,4380) = ( 280 × 4380 ) / 20
LCM(280,4380) = 1226400 / 20
LCM(280,4380) = 61320
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FAQs on GCF of Fractions of 3655/280, 9023/4380
1. What is the HCF of 3655,9023?
The HCF of 3655,9023 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 3655/280, 9023/4380?
Answer: GCF of Numerators as per given numbers 3655/280, 9023/4380 is
GCF of Numerators i.e. for 3655,9023 is 1
LCM of denominators i.e. for 280,4380 is 61320.
Thus, GCF of Fractions is 1/61320.Finally, GCF of Fractions for 3655/280, 9023/4380 is 1/61320.