GCF of 961/822, 283/414
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 961/822, 283/414 i.e 1/56718 easily. The following is the detailed procedure to determine the greatest common factor of fractions 961/822, 283/414.
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 961/822,283/414?
Given fractions are 961/822,283/414
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 961/822,283/414, numerators are 961,283
Denominators are 822,414
The GCF of 961,283 is 1 .
LCM of 822,414 is 56718.
The greatest common factor of 961/822,283/414 = [GCF of 961,283]/[LCM of 822,414]= 1/56718
Therefore, the GCF of 961/822,283/414 is 1/56718.
To find the highest common factor of 961,283, we have to find the factors of both numbers and list the highest common factor.
The factors of 961 are 1, 31, 961
The factors of 283 are 1, 283
The HCF of 961,283 is 1.
Lets's calculate GCF of 961,283
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 961,283 By Matching Biggest Common Factor Method
Now, list down the factors of 961
:1,31,961
Now, list down the factors of 283
:1,283
Greatest Common Factor
We found the factors 961,283 . The biggest common factor number is the GCF number.
So the greatest common factor 961,283 is 1.
Lets's calculate LCM of 822,414
| 2 | 822, 414 |
| 3 | 411, 207 |
| 137, 69 |
∴ So the LCM of the given numbers is 2 x 3 x 137 x 69 = 56718
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/56718
Therefore, the GCF of Fractions 961/822,283/414 is 1/56718
Least Common Multiple of 822,414 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 822,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(822,414) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(822,414) x common factors =6 x 1 = 6
LCM(822,414) = ( 822 × 414 ) / 6
LCM(822,414) = 340308 / 6
LCM(822,414) = 56718
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FAQs on GCF of Fractions of 961/822, 283/414
1. What is the HCF of 961,283?
The HCF of 961,283 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 961/822, 283/414?
Answer: GCF of Numerators as per given numbers 961/822, 283/414 is
GCF of Numerators i.e. for 961,283 is 1
LCM of denominators i.e. for 822,414 is 56718.
Thus, GCF of Fractions is 1/56718.Finally, GCF of Fractions for 961/822, 283/414 is 1/56718.