GCF of 2656/312, 6629/7218
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2656/312, 6629/7218 i.e 1/375336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2656/312, 6629/7218.
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 2656/312,6629/7218?
Given fractions are 2656/312,6629/7218
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 2656/312,6629/7218, numerators are 2656,6629
Denominators are 312,7218
The GCF of 2656,6629 is 1 .
LCM of 312,7218 is 375336.
The greatest common factor of 2656/312,6629/7218 = [GCF of 2656,6629]/[LCM of 312,7218]= 1/375336
Therefore, the GCF of 2656/312,6629/7218 is 1/375336.
To find the highest common factor of 2656,6629, we have to find the factors of both numbers and list the highest common factor.
The factors of 2656 are 1, 2, 4, 8, 16, 32, 83, 166, 332, 664, 1328, 2656
The factors of 6629 are 1, 7, 947, 6629
The HCF of 2656,6629 is 1.
Lets's calculate GCF of 2656,6629
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2656,6629 By Matching Biggest Common Factor Method
Now, list down the factors of 2656
:1,2,4,8,16,32,83,166,332,664,1328,2656
Now, list down the factors of 6629
:1,7,947,6629
Greatest Common Factor
We found the factors 2656,6629 . The biggest common factor number is the GCF number.
So the greatest common factor 2656,6629 is 1.
Lets's calculate LCM of 312,7218
| 2 | 312, 7218 |
| 3 | 156, 3609 |
| 52, 1203 |
∴ So the LCM of the given numbers is 2 x 3 x 52 x 1203 = 375336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/375336
Therefore, the GCF of Fractions 2656/312,6629/7218 is 1/375336
Least Common Multiple of 312,7218 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 312,7218 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(312,7218) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(312,7218) x common factors =6 x 1 = 6
LCM(312,7218) = ( 312 × 7218 ) / 6
LCM(312,7218) = 2252016 / 6
LCM(312,7218) = 375336
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FAQs on GCF of Fractions of 2656/312, 6629/7218
1. What is the HCF of 2656,6629?
The HCF of 2656,6629 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 2656/312, 6629/7218?
Answer: GCF of Numerators as per given numbers 2656/312, 6629/7218 is
GCF of Numerators i.e. for 2656,6629 is 1
LCM of denominators i.e. for 312,7218 is 375336.
Thus, GCF of Fractions is 1/375336.Finally, GCF of Fractions for 2656/312, 6629/7218 is 1/375336.