GCF of 1206/452, 1342/1948
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1206/452, 1342/1948 i.e 2/220124 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1206/452, 1342/1948.
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 1206/452,1342/1948?
Given fractions are 1206/452,1342/1948
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 1206/452,1342/1948, numerators are 1206,1342
Denominators are 452,1948
The GCF of 1206,1342 is 2 .
LCM of 452,1948 is 220124.
The greatest common factor of 1206/452,1342/1948 = [GCF of 1206,1342]/[LCM of 452,1948]= 2/220124
Therefore, the GCF of 1206/452,1342/1948 is 2/220124.
To find the highest common factor of 1206,1342, we have to find the factors of both numbers and list the highest common factor.
The factors of 1206 are 1, 2, 3, 6, 9, 18, 67, 134, 201, 402, 603, 1206
The factors of 1342 are 1, 2, 11, 22, 61, 122, 671, 1342
The HCF of 1206,1342 is 2.
Lets's calculate GCF of 1206,1342
| 2 | 1206, 1342 |
| 603, 671 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1206,1342 By Matching Biggest Common Factor Method
Now, list down the factors of 1206
:1,2,3,6,9,18,67,134,201,402,603,1206
Now, list down the factors of 1342
:1,2,11,22,61,122,671,1342
Greatest Common Factor
We found the factors 1206,1342 . The biggest common factor number is the GCF number.
So the greatest common factor 1206,1342 is 2.
Lets's calculate LCM of 452,1948
| 2 | 452, 1948 |
| 2 | 226, 974 |
| 113, 487 |
∴ So the LCM of the given numbers is 2 x 2 x 113 x 487 = 220124
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/220124
Therefore, the GCF of Fractions 1206/452,1342/1948 is 2/220124
Least Common Multiple of 452,1948 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 452,1948 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(452,1948) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(452,1948) x common factors =4 x 1 = 4
LCM(452,1948) = ( 452 × 1948 ) / 4
LCM(452,1948) = 880496 / 4
LCM(452,1948) = 220124
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FAQs on GCF of Fractions of 1206/452, 1342/1948
1. What is the HCF of 1206,1342?
The HCF of 1206,1342 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 1206/452, 1342/1948?
Answer: GCF of Numerators as per given numbers 1206/452, 1342/1948 is
GCF of Numerators i.e. for 1206,1342 is 2
LCM of denominators i.e. for 452,1948 is 220124.
Thus, GCF of Fractions is 2/220124.Finally, GCF of Fractions for 1206/452, 1342/1948 is 2/220124.