GCF of 6656/293, 7635/5100
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6656/293, 7635/5100 i.e 1/1494300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6656/293, 7635/5100.
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 6656/293,7635/5100?
Given fractions are 6656/293,7635/5100
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 6656/293,7635/5100, numerators are 6656,7635
Denominators are 293,5100
The GCF of 6656,7635 is 1 .
LCM of 293,5100 is 1494300.
The greatest common factor of 6656/293,7635/5100 = [GCF of 6656,7635]/[LCM of 293,5100]= 1/1494300
Therefore, the GCF of 6656/293,7635/5100 is 1/1494300.
To find the highest common factor of 6656,7635, we have to find the factors of both numbers and list the highest common factor.
The factors of 6656 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 128, 208, 256, 416, 512, 832, 1664, 3328, 6656
The factors of 7635 are 1, 3, 5, 15, 509, 1527, 2545, 7635
The HCF of 6656,7635 is 1.
Lets's calculate GCF of 6656,7635
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6656,7635 By Matching Biggest Common Factor Method
Now, list down the factors of 6656
:1,2,4,8,13,16,26,32,52,64,104,128,208,256,416,512,832,1664,3328,6656
Now, list down the factors of 7635
:1,3,5,15,509,1527,2545,7635
Greatest Common Factor
We found the factors 6656,7635 . The biggest common factor number is the GCF number.
So the greatest common factor 6656,7635 is 1.
Lets's calculate LCM of 293,5100
Given numbers has no common factors except 1. So, there LCM is their product i.e 1494300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1494300
Therefore, the GCF of Fractions 6656/293,7635/5100 is 1/1494300
Least Common Multiple of 293,5100 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 293,5100 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(293,5100) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(293,5100) x common factors =1 x 1 = 1
LCM(293,5100) = ( 293 × 5100 ) / 1
LCM(293,5100) = 1494300 / 1
LCM(293,5100) = 1494300
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FAQs on GCF of Fractions of 6656/293, 7635/5100
1. What is the HCF of 6656,7635?
The HCF of 6656,7635 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 6656/293, 7635/5100?
Answer: GCF of Numerators as per given numbers 6656/293, 7635/5100 is
GCF of Numerators i.e. for 6656,7635 is 1
LCM of denominators i.e. for 293,5100 is 1494300.
Thus, GCF of Fractions is 1/1494300.Finally, GCF of Fractions for 6656/293, 7635/5100 is 1/1494300.