GCF of 9669/176, 1402/402
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9669/176, 1402/402 i.e 1/35376 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9669/176, 1402/402.
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 9669/176,1402/402?
Given fractions are 9669/176,1402/402
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 9669/176,1402/402, numerators are 9669,1402
Denominators are 176,402
The GCF of 9669,1402 is 1 .
LCM of 176,402 is 35376.
The greatest common factor of 9669/176,1402/402 = [GCF of 9669,1402]/[LCM of 176,402]= 1/35376
Therefore, the GCF of 9669/176,1402/402 is 1/35376.
To find the highest common factor of 9669,1402, 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 1402 are 1, 2, 701, 1402
The HCF of 9669,1402 is 1.
Lets's calculate GCF of 9669,1402
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9669,1402 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 1402
:1,2,701,1402
Greatest Common Factor
We found the factors 9669,1402 . The biggest common factor number is the GCF number.
So the greatest common factor 9669,1402 is 1.
Lets's calculate LCM of 176,402
| 2 | 176, 402 |
| 88, 201 |
∴ So the LCM of the given numbers is 2 x 88 x 201 = 35376
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35376
Therefore, the GCF of Fractions 9669/176,1402/402 is 1/35376
Least Common Multiple of 176,402 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 176,402 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(176,402) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(176,402) x common factors =2 x 1 = 2
LCM(176,402) = ( 176 × 402 ) / 2
LCM(176,402) = 70752 / 2
LCM(176,402) = 35376
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FAQs on GCF of Fractions of 9669/176, 1402/402
1. What is the HCF of 9669,1402?
The HCF of 9669,1402 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 9669/176, 1402/402?
Answer: GCF of Numerators as per given numbers 9669/176, 1402/402 is
GCF of Numerators i.e. for 9669,1402 is 1
LCM of denominators i.e. for 176,402 is 35376.
Thus, GCF of Fractions is 1/35376.Finally, GCF of Fractions for 9669/176, 1402/402 is 1/35376.