GCF of 4235/823, 3465/8370
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4235/823, 3465/8370 i.e 385/6888510 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4235/823, 3465/8370.
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 4235/823,3465/8370?
Given fractions are 4235/823,3465/8370
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 4235/823,3465/8370, numerators are 4235,3465
Denominators are 823,8370
The GCF of 4235,3465 is 385 .
LCM of 823,8370 is 6888510.
The greatest common factor of 4235/823,3465/8370 = [GCF of 4235,3465]/[LCM of 823,8370]= 385/6888510
Therefore, the GCF of 4235/823,3465/8370 is 385/6888510.
To find the highest common factor of 4235,3465, we have to find the factors of both numbers and list the highest common factor.
The factors of 4235 are 1, 5, 7, 11, 35, 55, 77, 121, 385, 605, 847, 4235
The factors of 3465 are 1, 3, 5, 7, 9, 11, 15, 21, 33, 35, 45, 55, 63, 77, 99, 105, 165, 231, 315, 385, 495, 693, 1155, 3465
The HCF of 4235,3465 is 385.
Lets's calculate GCF of 4235,3465
| 5 | 4235, 3465 |
| 7 | 847, 693 |
| 11 | 121, 99 |
| 11, 9 |
∴ So the GCF of the given numbers is 5 x 7 x 11 = 385
Greatest Common Factor of 4235,3465 By Matching Biggest Common Factor Method
Now, list down the factors of 4235
:1,5,7,11,35,55,77,121,385,605,847,4235
Now, list down the factors of 3465
:1,3,5,7,9,11,15,21,33,35,45,55,63,77,99,105,165,231,315,385,495,693,1155,3465
Greatest Common Factor
We found the factors 4235,3465 . The biggest common factor number is the GCF number.
So the greatest common factor 4235,3465 is 385.
Lets's calculate LCM of 823,8370
Given numbers has no common factors except 1. So, there LCM is their product i.e 6888510
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 385/6888510
Therefore, the GCF of Fractions 4235/823,3465/8370 is 385/6888510
Least Common Multiple of 823,8370 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 823,8370 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(823,8370) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(823,8370) x common factors =1 x 1 = 1
LCM(823,8370) = ( 823 × 8370 ) / 1
LCM(823,8370) = 6888510 / 1
LCM(823,8370) = 6888510
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FAQs on GCF of Fractions of 4235/823, 3465/8370
1. What is the HCF of 4235,3465?
The HCF of 4235,3465 is 385
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 4235/823, 3465/8370?
Answer: GCF of Numerators as per given numbers 4235/823, 3465/8370 is
GCF of Numerators i.e. for 4235,3465 is 385
LCM of denominators i.e. for 823,8370 is 6888510.
Thus, GCF of Fractions is 385/6888510.Finally, GCF of Fractions for 4235/823, 3465/8370 is 385/6888510.