GCF of 8953/961, 9429/5713
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8953/961, 9429/5713 i.e 7/5490193 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8953/961, 9429/5713.
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 8953/961,9429/5713?
Given fractions are 8953/961,9429/5713
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 8953/961,9429/5713, numerators are 8953,9429
Denominators are 961,5713
The GCF of 8953,9429 is 7 .
LCM of 961,5713 is 5490193.
The greatest common factor of 8953/961,9429/5713 = [GCF of 8953,9429]/[LCM of 961,5713]= 7/5490193
Therefore, the GCF of 8953/961,9429/5713 is 7/5490193.
To find the highest common factor of 8953,9429, we have to find the factors of both numbers and list the highest common factor.
The factors of 8953 are 1, 7, 1279, 8953
The factors of 9429 are 1, 3, 7, 21, 449, 1347, 3143, 9429
The HCF of 8953,9429 is 7.
Lets's calculate GCF of 8953,9429
| 7 | 8953, 9429 |
| 1279, 1347 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 8953,9429 By Matching Biggest Common Factor Method
Now, list down the factors of 8953
:1,7,1279,8953
Now, list down the factors of 9429
:1,3,7,21,449,1347,3143,9429
Greatest Common Factor
We found the factors 8953,9429 . The biggest common factor number is the GCF number.
So the greatest common factor 8953,9429 is 7.
Lets's calculate LCM of 961,5713
Given numbers has no common factors except 1. So, there LCM is their product i.e 5490193
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/5490193
Therefore, the GCF of Fractions 8953/961,9429/5713 is 7/5490193
Least Common Multiple of 961,5713 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 961,5713 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(961,5713) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(961,5713) x common factors =1 x 1 = 1
LCM(961,5713) = ( 961 × 5713 ) / 1
LCM(961,5713) = 5490193 / 1
LCM(961,5713) = 5490193
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FAQs on GCF of Fractions of 8953/961, 9429/5713
1. What is the HCF of 8953,9429?
The HCF of 8953,9429 is 7
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 8953/961, 9429/5713?
Answer: GCF of Numerators as per given numbers 8953/961, 9429/5713 is
GCF of Numerators i.e. for 8953,9429 is 7
LCM of denominators i.e. for 961,5713 is 5490193.
Thus, GCF of Fractions is 7/5490193.Finally, GCF of Fractions for 8953/961, 9429/5713 is 7/5490193.