GCF of 3275/966, 9955/7108
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3275/966, 9955/7108 i.e 5/3433164 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3275/966, 9955/7108.
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 3275/966,9955/7108?
Given fractions are 3275/966,9955/7108
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 3275/966,9955/7108, numerators are 3275,9955
Denominators are 966,7108
The GCF of 3275,9955 is 5 .
LCM of 966,7108 is 3433164.
The greatest common factor of 3275/966,9955/7108 = [GCF of 3275,9955]/[LCM of 966,7108]= 5/3433164
Therefore, the GCF of 3275/966,9955/7108 is 5/3433164.
To find the highest common factor of 3275,9955, we have to find the factors of both numbers and list the highest common factor.
The factors of 3275 are 1, 5, 25, 131, 655, 3275
The factors of 9955 are 1, 5, 11, 55, 181, 905, 1991, 9955
The HCF of 3275,9955 is 5.
Lets's calculate GCF of 3275,9955
| 5 | 3275, 9955 |
| 655, 1991 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 3275,9955 By Matching Biggest Common Factor Method
Now, list down the factors of 3275
:1,5,25,131,655,3275
Now, list down the factors of 9955
:1,5,11,55,181,905,1991,9955
Greatest Common Factor
We found the factors 3275,9955 . The biggest common factor number is the GCF number.
So the greatest common factor 3275,9955 is 5.
Lets's calculate LCM of 966,7108
| 2 | 966, 7108 |
| 483, 3554 |
∴ So the LCM of the given numbers is 2 x 483 x 3554 = 3433164
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/3433164
Therefore, the GCF of Fractions 3275/966,9955/7108 is 5/3433164
Least Common Multiple of 966,7108 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 966,7108 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(966,7108) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(966,7108) x common factors =2 x 1 = 2
LCM(966,7108) = ( 966 × 7108 ) / 2
LCM(966,7108) = 6866328 / 2
LCM(966,7108) = 3433164
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FAQs on GCF of Fractions of 3275/966, 9955/7108
1. What is the HCF of 3275,9955?
The HCF of 3275,9955 is 5
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 3275/966, 9955/7108?
Answer: GCF of Numerators as per given numbers 3275/966, 9955/7108 is
GCF of Numerators i.e. for 3275,9955 is 5
LCM of denominators i.e. for 966,7108 is 3433164.
Thus, GCF of Fractions is 5/3433164.Finally, GCF of Fractions for 3275/966, 9955/7108 is 5/3433164.