GCF of 5156/943, 3786/2520
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5156/943, 3786/2520 i.e 2/2376360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5156/943, 3786/2520.
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 5156/943,3786/2520?
Given fractions are 5156/943,3786/2520
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 5156/943,3786/2520, numerators are 5156,3786
Denominators are 943,2520
The GCF of 5156,3786 is 2 .
LCM of 943,2520 is 2376360.
The greatest common factor of 5156/943,3786/2520 = [GCF of 5156,3786]/[LCM of 943,2520]= 2/2376360
Therefore, the GCF of 5156/943,3786/2520 is 2/2376360.
To find the highest common factor of 5156,3786, we have to find the factors of both numbers and list the highest common factor.
The factors of 5156 are 1, 2, 4, 1289, 2578, 5156
The factors of 3786 are 1, 2, 3, 6, 631, 1262, 1893, 3786
The HCF of 5156,3786 is 2.
Lets's calculate GCF of 5156,3786
| 2 | 5156, 3786 |
| 2578, 1893 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5156,3786 By Matching Biggest Common Factor Method
Now, list down the factors of 5156
:1,2,4,1289,2578,5156
Now, list down the factors of 3786
:1,2,3,6,631,1262,1893,3786
Greatest Common Factor
We found the factors 5156,3786 . The biggest common factor number is the GCF number.
So the greatest common factor 5156,3786 is 2.
Lets's calculate LCM of 943,2520
Given numbers has no common factors except 1. So, there LCM is their product i.e 2376360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2376360
Therefore, the GCF of Fractions 5156/943,3786/2520 is 2/2376360
Least Common Multiple of 943,2520 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 943,2520 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(943,2520) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(943,2520) x common factors =1 x 1 = 1
LCM(943,2520) = ( 943 × 2520 ) / 1
LCM(943,2520) = 2376360 / 1
LCM(943,2520) = 2376360
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FAQs on GCF of Fractions of 5156/943, 3786/2520
1. What is the HCF of 5156,3786?
The HCF of 5156,3786 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 5156/943, 3786/2520?
Answer: GCF of Numerators as per given numbers 5156/943, 3786/2520 is
GCF of Numerators i.e. for 5156,3786 is 2
LCM of denominators i.e. for 943,2520 is 2376360.
Thus, GCF of Fractions is 2/2376360.Finally, GCF of Fractions for 5156/943, 3786/2520 is 2/2376360.