GCF of 6770/811, 8688/505
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6770/811, 8688/505 i.e 2/409555 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6770/811, 8688/505.
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 6770/811,8688/505?
Given fractions are 6770/811,8688/505
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 6770/811,8688/505, numerators are 6770,8688
Denominators are 811,505
The GCF of 6770,8688 is 2 .
LCM of 811,505 is 409555.
The greatest common factor of 6770/811,8688/505 = [GCF of 6770,8688]/[LCM of 811,505]= 2/409555
Therefore, the GCF of 6770/811,8688/505 is 2/409555.
To find the highest common factor of 6770,8688, we have to find the factors of both numbers and list the highest common factor.
The factors of 6770 are 1, 2, 5, 10, 677, 1354, 3385, 6770
The factors of 8688 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 181, 362, 543, 724, 1086, 1448, 2172, 2896, 4344, 8688
The HCF of 6770,8688 is 2.
Lets's calculate GCF of 6770,8688
| 2 | 6770, 8688 |
| 3385, 4344 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6770,8688 By Matching Biggest Common Factor Method
Now, list down the factors of 6770
:1,2,5,10,677,1354,3385,6770
Now, list down the factors of 8688
:1,2,3,4,6,8,12,16,24,48,181,362,543,724,1086,1448,2172,2896,4344,8688
Greatest Common Factor
We found the factors 6770,8688 . The biggest common factor number is the GCF number.
So the greatest common factor 6770,8688 is 2.
Lets's calculate LCM of 811,505
Given numbers has no common factors except 1. So, there LCM is their product i.e 409555
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/409555
Therefore, the GCF of Fractions 6770/811,8688/505 is 2/409555
Least Common Multiple of 811,505 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 811,505 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(811,505) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(811,505) x common factors =1 x 1 = 1
LCM(811,505) = ( 811 × 505 ) / 1
LCM(811,505) = 409555 / 1
LCM(811,505) = 409555
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FAQs on GCF of Fractions of 6770/811, 8688/505
1. What is the HCF of 6770,8688?
The HCF of 6770,8688 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 6770/811, 8688/505?
Answer: GCF of Numerators as per given numbers 6770/811, 8688/505 is
GCF of Numerators i.e. for 6770,8688 is 2
LCM of denominators i.e. for 811,505 is 409555.
Thus, GCF of Fractions is 2/409555.Finally, GCF of Fractions for 6770/811, 8688/505 is 2/409555.