GCF of 6567/816, 2972/2650
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6567/816, 2972/2650 i.e 1/1081200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6567/816, 2972/2650.
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 6567/816,2972/2650?
Given fractions are 6567/816,2972/2650
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 6567/816,2972/2650, numerators are 6567,2972
Denominators are 816,2650
The GCF of 6567,2972 is 1 .
LCM of 816,2650 is 1081200.
The greatest common factor of 6567/816,2972/2650 = [GCF of 6567,2972]/[LCM of 816,2650]= 1/1081200
Therefore, the GCF of 6567/816,2972/2650 is 1/1081200.
To find the highest common factor of 6567,2972, we have to find the factors of both numbers and list the highest common factor.
The factors of 6567 are 1, 3, 11, 33, 199, 597, 2189, 6567
The factors of 2972 are 1, 2, 4, 743, 1486, 2972
The HCF of 6567,2972 is 1.
Lets's calculate GCF of 6567,2972
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6567,2972 By Matching Biggest Common Factor Method
Now, list down the factors of 6567
:1,3,11,33,199,597,2189,6567
Now, list down the factors of 2972
:1,2,4,743,1486,2972
Greatest Common Factor
We found the factors 6567,2972 . The biggest common factor number is the GCF number.
So the greatest common factor 6567,2972 is 1.
Lets's calculate LCM of 816,2650
| 2 | 816, 2650 |
| 408, 1325 |
∴ So the LCM of the given numbers is 2 x 408 x 1325 = 1081200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1081200
Therefore, the GCF of Fractions 6567/816,2972/2650 is 1/1081200
Least Common Multiple of 816,2650 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 816,2650 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(816,2650) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(816,2650) x common factors =2 x 1 = 2
LCM(816,2650) = ( 816 × 2650 ) / 2
LCM(816,2650) = 2162400 / 2
LCM(816,2650) = 1081200
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FAQs on GCF of Fractions of 6567/816, 2972/2650
1. What is the HCF of 6567,2972?
The HCF of 6567,2972 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 6567/816, 2972/2650?
Answer: GCF of Numerators as per given numbers 6567/816, 2972/2650 is
GCF of Numerators i.e. for 6567,2972 is 1
LCM of denominators i.e. for 816,2650 is 1081200.
Thus, GCF of Fractions is 1/1081200.Finally, GCF of Fractions for 6567/816, 2972/2650 is 1/1081200.