GCF of 1236/142, 5345/7939
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1236/142, 5345/7939 i.e 1/1127338 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1236/142, 5345/7939.
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 1236/142,5345/7939?
Given fractions are 1236/142,5345/7939
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 1236/142,5345/7939, numerators are 1236,5345
Denominators are 142,7939
The GCF of 1236,5345 is 1 .
LCM of 142,7939 is 1127338.
The greatest common factor of 1236/142,5345/7939 = [GCF of 1236,5345]/[LCM of 142,7939]= 1/1127338
Therefore, the GCF of 1236/142,5345/7939 is 1/1127338.
To find the highest common factor of 1236,5345, we have to find the factors of both numbers and list the highest common factor.
The factors of 1236 are 1, 2, 3, 4, 6, 12, 103, 206, 309, 412, 618, 1236
The factors of 5345 are 1, 5, 1069, 5345
The HCF of 1236,5345 is 1.
Lets's calculate GCF of 1236,5345
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1236,5345 By Matching Biggest Common Factor Method
Now, list down the factors of 1236
:1,2,3,4,6,12,103,206,309,412,618,1236
Now, list down the factors of 5345
:1,5,1069,5345
Greatest Common Factor
We found the factors 1236,5345 . The biggest common factor number is the GCF number.
So the greatest common factor 1236,5345 is 1.
Lets's calculate LCM of 142,7939
Given numbers has no common factors except 1. So, there LCM is their product i.e 1127338
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1127338
Therefore, the GCF of Fractions 1236/142,5345/7939 is 1/1127338
Least Common Multiple of 142,7939 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 142,7939 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(142,7939) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(142,7939) x common factors =1 x 1 = 1
LCM(142,7939) = ( 142 × 7939 ) / 1
LCM(142,7939) = 1127338 / 1
LCM(142,7939) = 1127338
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FAQs on GCF of Fractions of 1236/142, 5345/7939
1. What is the HCF of 1236,5345?
The HCF of 1236,5345 is 1
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 1236/142, 5345/7939?
Answer: GCF of Numerators as per given numbers 1236/142, 5345/7939 is
GCF of Numerators i.e. for 1236,5345 is 1
LCM of denominators i.e. for 142,7939 is 1127338.
Thus, GCF of Fractions is 1/1127338.Finally, GCF of Fractions for 1236/142, 5345/7939 is 1/1127338.