GCF of 9392/828, 9008/4207
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9392/828, 9008/4207 i.e 16/3483396 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9392/828, 9008/4207.
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 9392/828,9008/4207?
Given fractions are 9392/828,9008/4207
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 9392/828,9008/4207, numerators are 9392,9008
Denominators are 828,4207
The GCF of 9392,9008 is 16 .
LCM of 828,4207 is 3483396.
The greatest common factor of 9392/828,9008/4207 = [GCF of 9392,9008]/[LCM of 828,4207]= 16/3483396
Therefore, the GCF of 9392/828,9008/4207 is 16/3483396.
To find the highest common factor of 9392,9008, we have to find the factors of both numbers and list the highest common factor.
The factors of 9392 are 1, 2, 4, 8, 16, 587, 1174, 2348, 4696, 9392
The factors of 9008 are 1, 2, 4, 8, 16, 563, 1126, 2252, 4504, 9008
The HCF of 9392,9008 is 16.
Lets's calculate GCF of 9392,9008
| 2 | 9392, 9008 |
| 2 | 4696, 4504 |
| 2 | 2348, 2252 |
| 2 | 1174, 1126 |
| 587, 563 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 9392,9008 By Matching Biggest Common Factor Method
Now, list down the factors of 9392
:1,2,4,8,16,587,1174,2348,4696,9392
Now, list down the factors of 9008
:1,2,4,8,16,563,1126,2252,4504,9008
Greatest Common Factor
We found the factors 9392,9008 . The biggest common factor number is the GCF number.
So the greatest common factor 9392,9008 is 16.
Lets's calculate LCM of 828,4207
Given numbers has no common factors except 1. So, there LCM is their product i.e 3483396
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/3483396
Therefore, the GCF of Fractions 9392/828,9008/4207 is 16/3483396
Least Common Multiple of 828,4207 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 828,4207 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(828,4207) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(828,4207) x common factors =1 x 1 = 1
LCM(828,4207) = ( 828 × 4207 ) / 1
LCM(828,4207) = 3483396 / 1
LCM(828,4207) = 3483396
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FAQs on GCF of Fractions of 9392/828, 9008/4207
1. What is the HCF of 9392,9008?
The HCF of 9392,9008 is 16
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 9392/828, 9008/4207?
Answer: GCF of Numerators as per given numbers 9392/828, 9008/4207 is
GCF of Numerators i.e. for 9392,9008 is 16
LCM of denominators i.e. for 828,4207 is 3483396.
Thus, GCF of Fractions is 16/3483396.Finally, GCF of Fractions for 9392/828, 9008/4207 is 16/3483396.