GCF of 6334/966, 4740/121
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6334/966, 4740/121 i.e 2/116886 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6334/966, 4740/121.
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 6334/966,4740/121?
Given fractions are 6334/966,4740/121
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 6334/966,4740/121, numerators are 6334,4740
Denominators are 966,121
The GCF of 6334,4740 is 2 .
LCM of 966,121 is 116886.
The greatest common factor of 6334/966,4740/121 = [GCF of 6334,4740]/[LCM of 966,121]= 2/116886
Therefore, the GCF of 6334/966,4740/121 is 2/116886.
To find the highest common factor of 6334,4740, we have to find the factors of both numbers and list the highest common factor.
The factors of 6334 are 1, 2, 3167, 6334
The factors of 4740 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 79, 158, 237, 316, 395, 474, 790, 948, 1185, 1580, 2370, 4740
The HCF of 6334,4740 is 2.
Lets's calculate GCF of 6334,4740
| 2 | 6334, 4740 |
| 3167, 2370 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6334,4740 By Matching Biggest Common Factor Method
Now, list down the factors of 6334
:1,2,3167,6334
Now, list down the factors of 4740
:1,2,3,4,5,6,10,12,15,20,30,60,79,158,237,316,395,474,790,948,1185,1580,2370,4740
Greatest Common Factor
We found the factors 6334,4740 . The biggest common factor number is the GCF number.
So the greatest common factor 6334,4740 is 2.
Lets's calculate LCM of 966,121
Given numbers has no common factors except 1. So, there LCM is their product i.e 116886
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/116886
Therefore, the GCF of Fractions 6334/966,4740/121 is 2/116886
Least Common Multiple of 966,121 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 966,121 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(966,121) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(966,121) x common factors =1 x 1 = 1
LCM(966,121) = ( 966 × 121 ) / 1
LCM(966,121) = 116886 / 1
LCM(966,121) = 116886
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FAQs on GCF of Fractions of 6334/966, 4740/121
1. What is the HCF of 6334,4740?
The HCF of 6334,4740 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 6334/966, 4740/121?
Answer: GCF of Numerators as per given numbers 6334/966, 4740/121 is
GCF of Numerators i.e. for 6334,4740 is 2
LCM of denominators i.e. for 966,121 is 116886.
Thus, GCF of Fractions is 2/116886.Finally, GCF of Fractions for 6334/966, 4740/121 is 2/116886.