GCF of 1182/402, 6954/7382
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1182/402, 6954/7382 i.e 6/1483782 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1182/402, 6954/7382.
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 1182/402,6954/7382?
Given fractions are 1182/402,6954/7382
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 1182/402,6954/7382, numerators are 1182,6954
Denominators are 402,7382
The GCF of 1182,6954 is 6 .
LCM of 402,7382 is 1483782.
The greatest common factor of 1182/402,6954/7382 = [GCF of 1182,6954]/[LCM of 402,7382]= 6/1483782
Therefore, the GCF of 1182/402,6954/7382 is 6/1483782.
To find the highest common factor of 1182,6954, we have to find the factors of both numbers and list the highest common factor.
The factors of 1182 are 1, 2, 3, 6, 197, 394, 591, 1182
The factors of 6954 are 1, 2, 3, 6, 19, 38, 57, 61, 114, 122, 183, 366, 1159, 2318, 3477, 6954
The HCF of 1182,6954 is 6.
Lets's calculate GCF of 1182,6954
| 2 | 1182, 6954 |
| 3 | 591, 3477 |
| 197, 1159 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 1182,6954 By Matching Biggest Common Factor Method
Now, list down the factors of 1182
:1,2,3,6,197,394,591,1182
Now, list down the factors of 6954
:1,2,3,6,19,38,57,61,114,122,183,366,1159,2318,3477,6954
Greatest Common Factor
We found the factors 1182,6954 . The biggest common factor number is the GCF number.
So the greatest common factor 1182,6954 is 6.
Lets's calculate LCM of 402,7382
| 2 | 402, 7382 |
| 201, 3691 |
∴ So the LCM of the given numbers is 2 x 201 x 3691 = 1483782
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1483782
Therefore, the GCF of Fractions 1182/402,6954/7382 is 6/1483782
Least Common Multiple of 402,7382 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 402,7382 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(402,7382) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(402,7382) x common factors =2 x 1 = 2
LCM(402,7382) = ( 402 × 7382 ) / 2
LCM(402,7382) = 2967564 / 2
LCM(402,7382) = 1483782
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FAQs on GCF of Fractions of 1182/402, 6954/7382
1. What is the HCF of 1182,6954?
The HCF of 1182,6954 is 6
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 1182/402, 6954/7382?
Answer: GCF of Numerators as per given numbers 1182/402, 6954/7382 is
GCF of Numerators i.e. for 1182,6954 is 6
LCM of denominators i.e. for 402,7382 is 1483782.
Thus, GCF of Fractions is 6/1483782.Finally, GCF of Fractions for 1182/402, 6954/7382 is 6/1483782.