GCF of 2690/966, 5792/5755
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2690/966, 5792/5755 i.e 2/5559330 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2690/966, 5792/5755.
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 2690/966,5792/5755?
Given fractions are 2690/966,5792/5755
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 2690/966,5792/5755, numerators are 2690,5792
Denominators are 966,5755
The GCF of 2690,5792 is 2 .
LCM of 966,5755 is 5559330.
The greatest common factor of 2690/966,5792/5755 = [GCF of 2690,5792]/[LCM of 966,5755]= 2/5559330
Therefore, the GCF of 2690/966,5792/5755 is 2/5559330.
To find the highest common factor of 2690,5792, we have to find the factors of both numbers and list the highest common factor.
The factors of 2690 are 1, 2, 5, 10, 269, 538, 1345, 2690
The factors of 5792 are 1, 2, 4, 8, 16, 32, 181, 362, 724, 1448, 2896, 5792
The HCF of 2690,5792 is 2.
Lets's calculate GCF of 2690,5792
| 2 | 2690, 5792 |
| 1345, 2896 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2690,5792 By Matching Biggest Common Factor Method
Now, list down the factors of 2690
:1,2,5,10,269,538,1345,2690
Now, list down the factors of 5792
:1,2,4,8,16,32,181,362,724,1448,2896,5792
Greatest Common Factor
We found the factors 2690,5792 . The biggest common factor number is the GCF number.
So the greatest common factor 2690,5792 is 2.
Lets's calculate LCM of 966,5755
Given numbers has no common factors except 1. So, there LCM is their product i.e 5559330
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5559330
Therefore, the GCF of Fractions 2690/966,5792/5755 is 2/5559330
Least Common Multiple of 966,5755 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 966,5755 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(966,5755) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(966,5755) x common factors =1 x 1 = 1
LCM(966,5755) = ( 966 × 5755 ) / 1
LCM(966,5755) = 5559330 / 1
LCM(966,5755) = 5559330
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FAQs on GCF of Fractions of 2690/966, 5792/5755
1. What is the HCF of 2690,5792?
The HCF of 2690,5792 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 2690/966, 5792/5755?
Answer: GCF of Numerators as per given numbers 2690/966, 5792/5755 is
GCF of Numerators i.e. for 2690,5792 is 2
LCM of denominators i.e. for 966,5755 is 5559330.
Thus, GCF of Fractions is 2/5559330.Finally, GCF of Fractions for 2690/966, 5792/5755 is 2/5559330.