GCF of 9669/452, 6894/1226
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9669/452, 6894/1226 i.e 3/277076 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9669/452, 6894/1226.
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 9669/452,6894/1226?
Given fractions are 9669/452,6894/1226
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 9669/452,6894/1226, numerators are 9669,6894
Denominators are 452,1226
The GCF of 9669,6894 is 3 .
LCM of 452,1226 is 277076.
The greatest common factor of 9669/452,6894/1226 = [GCF of 9669,6894]/[LCM of 452,1226]= 3/277076
Therefore, the GCF of 9669/452,6894/1226 is 3/277076.
To find the highest common factor of 9669,6894, we have to find the factors of both numbers and list the highest common factor.
The factors of 9669 are 1, 3, 11, 33, 293, 879, 3223, 9669
The factors of 6894 are 1, 2, 3, 6, 9, 18, 383, 766, 1149, 2298, 3447, 6894
The HCF of 9669,6894 is 3.
Lets's calculate GCF of 9669,6894
| 3 | 9669, 6894 |
| 3223, 2298 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9669,6894 By Matching Biggest Common Factor Method
Now, list down the factors of 9669
:1,3,11,33,293,879,3223,9669
Now, list down the factors of 6894
:1,2,3,6,9,18,383,766,1149,2298,3447,6894
Greatest Common Factor
We found the factors 9669,6894 . The biggest common factor number is the GCF number.
So the greatest common factor 9669,6894 is 3.
Lets's calculate LCM of 452,1226
| 2 | 452, 1226 |
| 226, 613 |
∴ So the LCM of the given numbers is 2 x 226 x 613 = 277076
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/277076
Therefore, the GCF of Fractions 9669/452,6894/1226 is 3/277076
Least Common Multiple of 452,1226 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 452,1226 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(452,1226) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(452,1226) x common factors =2 x 1 = 2
LCM(452,1226) = ( 452 × 1226 ) / 2
LCM(452,1226) = 554152 / 2
LCM(452,1226) = 277076
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FAQs on GCF of Fractions of 9669/452, 6894/1226
1. What is the HCF of 9669,6894?
The HCF of 9669,6894 is 3
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 9669/452, 6894/1226?
Answer: GCF of Numerators as per given numbers 9669/452, 6894/1226 is
GCF of Numerators i.e. for 9669,6894 is 3
LCM of denominators i.e. for 452,1226 is 277076.
Thus, GCF of Fractions is 3/277076.Finally, GCF of Fractions for 9669/452, 6894/1226 is 3/277076.