GCF of 9463/822, 2207/357
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9463/822, 2207/357 i.e 1/97818 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9463/822, 2207/357.
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 9463/822,2207/357?
Given fractions are 9463/822,2207/357
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 9463/822,2207/357, numerators are 9463,2207
Denominators are 822,357
The GCF of 9463,2207 is 1 .
LCM of 822,357 is 97818.
The greatest common factor of 9463/822,2207/357 = [GCF of 9463,2207]/[LCM of 822,357]= 1/97818
Therefore, the GCF of 9463/822,2207/357 is 1/97818.
To find the highest common factor of 9463,2207, we have to find the factors of both numbers and list the highest common factor.
The factors of 9463 are 1, 9463
The factors of 2207 are 1, 2207
The HCF of 9463,2207 is 1.
Lets's calculate GCF of 9463,2207
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9463,2207 By Matching Biggest Common Factor Method
Now, list down the factors of 9463
:1,9463
Now, list down the factors of 2207
:1,2207
Greatest Common Factor
We found the factors 9463,2207 . The biggest common factor number is the GCF number.
So the greatest common factor 9463,2207 is 1.
Lets's calculate LCM of 822,357
| 3 | 822, 357 |
| 274, 119 |
∴ So the LCM of the given numbers is 3 x 274 x 119 = 97818
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/97818
Therefore, the GCF of Fractions 9463/822,2207/357 is 1/97818
Least Common Multiple of 822,357 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 822,357 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(822,357) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(822,357) x common factors =3 x 1 = 3
LCM(822,357) = ( 822 × 357 ) / 3
LCM(822,357) = 293454 / 3
LCM(822,357) = 97818
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FAQs on GCF of Fractions of 9463/822, 2207/357
1. What is the HCF of 9463,2207?
The HCF of 9463,2207 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 9463/822, 2207/357?
Answer: GCF of Numerators as per given numbers 9463/822, 2207/357 is
GCF of Numerators i.e. for 9463,2207 is 1
LCM of denominators i.e. for 822,357 is 97818.
Thus, GCF of Fractions is 1/97818.Finally, GCF of Fractions for 9463/822, 2207/357 is 1/97818.