GCF of 1550/652, 2796/2207
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1550/652, 2796/2207 i.e 2/1438964 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1550/652, 2796/2207.
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 1550/652,2796/2207?
Given fractions are 1550/652,2796/2207
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 1550/652,2796/2207, numerators are 1550,2796
Denominators are 652,2207
The GCF of 1550,2796 is 2 .
LCM of 652,2207 is 1438964.
The greatest common factor of 1550/652,2796/2207 = [GCF of 1550,2796]/[LCM of 652,2207]= 2/1438964
Therefore, the GCF of 1550/652,2796/2207 is 2/1438964.
To find the highest common factor of 1550,2796, we have to find the factors of both numbers and list the highest common factor.
The factors of 1550 are 1, 2, 5, 10, 25, 31, 50, 62, 155, 310, 775, 1550
The factors of 2796 are 1, 2, 3, 4, 6, 12, 233, 466, 699, 932, 1398, 2796
The HCF of 1550,2796 is 2.
Lets's calculate GCF of 1550,2796
| 2 | 1550, 2796 |
| 775, 1398 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1550,2796 By Matching Biggest Common Factor Method
Now, list down the factors of 1550
:1,2,5,10,25,31,50,62,155,310,775,1550
Now, list down the factors of 2796
:1,2,3,4,6,12,233,466,699,932,1398,2796
Greatest Common Factor
We found the factors 1550,2796 . The biggest common factor number is the GCF number.
So the greatest common factor 1550,2796 is 2.
Lets's calculate LCM of 652,2207
Given numbers has no common factors except 1. So, there LCM is their product i.e 1438964
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1438964
Therefore, the GCF of Fractions 1550/652,2796/2207 is 2/1438964
Least Common Multiple of 652,2207 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 652,2207 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(652,2207) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(652,2207) x common factors =1 x 1 = 1
LCM(652,2207) = ( 652 × 2207 ) / 1
LCM(652,2207) = 1438964 / 1
LCM(652,2207) = 1438964
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FAQs on GCF of Fractions of 1550/652, 2796/2207
1. What is the HCF of 1550,2796?
The HCF of 1550,2796 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 1550/652, 2796/2207?
Answer: GCF of Numerators as per given numbers 1550/652, 2796/2207 is
GCF of Numerators i.e. for 1550,2796 is 2
LCM of denominators i.e. for 652,2207 is 1438964.
Thus, GCF of Fractions is 2/1438964.Finally, GCF of Fractions for 1550/652, 2796/2207 is 2/1438964.