GCF of 3177/946, 6288/6954
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3177/946, 6288/6954 i.e 3/3289242 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3177/946, 6288/6954.
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 3177/946,6288/6954?
Given fractions are 3177/946,6288/6954
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 3177/946,6288/6954, numerators are 3177,6288
Denominators are 946,6954
The GCF of 3177,6288 is 3 .
LCM of 946,6954 is 3289242.
The greatest common factor of 3177/946,6288/6954 = [GCF of 3177,6288]/[LCM of 946,6954]= 3/3289242
Therefore, the GCF of 3177/946,6288/6954 is 3/3289242.
To find the highest common factor of 3177,6288, we have to find the factors of both numbers and list the highest common factor.
The factors of 3177 are 1, 3, 9, 353, 1059, 3177
The factors of 6288 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 131, 262, 393, 524, 786, 1048, 1572, 2096, 3144, 6288
The HCF of 3177,6288 is 3.
Lets's calculate GCF of 3177,6288
| 3 | 3177, 6288 |
| 1059, 2096 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3177,6288 By Matching Biggest Common Factor Method
Now, list down the factors of 3177
:1,3,9,353,1059,3177
Now, list down the factors of 6288
:1,2,3,4,6,8,12,16,24,48,131,262,393,524,786,1048,1572,2096,3144,6288
Greatest Common Factor
We found the factors 3177,6288 . The biggest common factor number is the GCF number.
So the greatest common factor 3177,6288 is 3.
Lets's calculate LCM of 946,6954
| 2 | 946, 6954 |
| 473, 3477 |
∴ So the LCM of the given numbers is 2 x 473 x 3477 = 3289242
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3289242
Therefore, the GCF of Fractions 3177/946,6288/6954 is 3/3289242
Least Common Multiple of 946,6954 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 946,6954 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(946,6954) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(946,6954) x common factors =2 x 1 = 2
LCM(946,6954) = ( 946 × 6954 ) / 2
LCM(946,6954) = 6578484 / 2
LCM(946,6954) = 3289242
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FAQs on GCF of Fractions of 3177/946, 6288/6954
1. What is the HCF of 3177,6288?
The HCF of 3177,6288 is 3
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 3177/946, 6288/6954?
Answer: GCF of Numerators as per given numbers 3177/946, 6288/6954 is
GCF of Numerators i.e. for 3177,6288 is 3
LCM of denominators i.e. for 946,6954 is 3289242.
Thus, GCF of Fractions is 3/3289242.Finally, GCF of Fractions for 3177/946, 6288/6954 is 3/3289242.