GCF of 9506/802, 8404/401
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9506/802, 8404/401 i.e 2/802 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9506/802, 8404/401.
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 9506/802,8404/401?
Given fractions are 9506/802,8404/401
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 9506/802,8404/401, numerators are 9506,8404
Denominators are 802,401
The GCF of 9506,8404 is 2 .
LCM of 802,401 is 802.
The greatest common factor of 9506/802,8404/401 = [GCF of 9506,8404]/[LCM of 802,401]= 2/802
Therefore, the GCF of 9506/802,8404/401 is 2/802.
To find the highest common factor of 9506,8404, we have to find the factors of both numbers and list the highest common factor.
The factors of 9506 are 1, 2, 7, 14, 49, 97, 98, 194, 679, 1358, 4753, 9506
The factors of 8404 are 1, 2, 4, 11, 22, 44, 191, 382, 764, 2101, 4202, 8404
The HCF of 9506,8404 is 2.
Lets's calculate GCF of 9506,8404
| 2 | 9506, 8404 |
| 4753, 4202 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9506,8404 By Matching Biggest Common Factor Method
Now, list down the factors of 9506
:1,2,7,14,49,97,98,194,679,1358,4753,9506
Now, list down the factors of 8404
:1,2,4,11,22,44,191,382,764,2101,4202,8404
Greatest Common Factor
We found the factors 9506,8404 . The biggest common factor number is the GCF number.
So the greatest common factor 9506,8404 is 2.
Lets's calculate LCM of 802,401
| 401 | 802, 401 |
| 2, 1 |
∴ So the LCM of the given numbers is 401 x 2 x 1 = 802
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/802
Therefore, the GCF of Fractions 9506/802,8404/401 is 2/802
Least Common Multiple of 802,401 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 802,401 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(802,401) = 401
common factors(in case of two or more numbers have common factors) = 1
GCF(802,401) x common factors =401 x 1 = 401
LCM(802,401) = ( 802 × 401 ) / 401
LCM(802,401) = 321602 / 401
LCM(802,401) = 802
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FAQs on GCF of Fractions of 9506/802, 8404/401
1. What is the HCF of 9506,8404?
The HCF of 9506,8404 is 2
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 9506/802, 8404/401?
Answer: GCF of Numerators as per given numbers 9506/802, 8404/401 is
GCF of Numerators i.e. for 9506,8404 is 2
LCM of denominators i.e. for 802,401 is 802.
Thus, GCF of Fractions is 2/802.Finally, GCF of Fractions for 9506/802, 8404/401 is 2/802.