GCF of 6805/710, 3552/5776
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6805/710, 3552/5776 i.e 1/2050480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6805/710, 3552/5776.
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 6805/710,3552/5776?
Given fractions are 6805/710,3552/5776
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 6805/710,3552/5776, numerators are 6805,3552
Denominators are 710,5776
The GCF of 6805,3552 is 1 .
LCM of 710,5776 is 2050480.
The greatest common factor of 6805/710,3552/5776 = [GCF of 6805,3552]/[LCM of 710,5776]= 1/2050480
Therefore, the GCF of 6805/710,3552/5776 is 1/2050480.
To find the highest common factor of 6805,3552, we have to find the factors of both numbers and list the highest common factor.
The factors of 6805 are 1, 5, 1361, 6805
The factors of 3552 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 37, 48, 74, 96, 111, 148, 222, 296, 444, 592, 888, 1184, 1776, 3552
The HCF of 6805,3552 is 1.
Lets's calculate GCF of 6805,3552
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6805,3552 By Matching Biggest Common Factor Method
Now, list down the factors of 6805
:1,5,1361,6805
Now, list down the factors of 3552
:1,2,3,4,6,8,12,16,24,32,37,48,74,96,111,148,222,296,444,592,888,1184,1776,3552
Greatest Common Factor
We found the factors 6805,3552 . The biggest common factor number is the GCF number.
So the greatest common factor 6805,3552 is 1.
Lets's calculate LCM of 710,5776
| 2 | 710, 5776 |
| 355, 2888 |
∴ So the LCM of the given numbers is 2 x 355 x 2888 = 2050480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2050480
Therefore, the GCF of Fractions 6805/710,3552/5776 is 1/2050480
Least Common Multiple of 710,5776 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 710,5776 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(710,5776) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(710,5776) x common factors =2 x 1 = 2
LCM(710,5776) = ( 710 × 5776 ) / 2
LCM(710,5776) = 4100960 / 2
LCM(710,5776) = 2050480
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FAQs on GCF of Fractions of 6805/710, 3552/5776
1. What is the HCF of 6805,3552?
The HCF of 6805,3552 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 6805/710, 3552/5776?
Answer: GCF of Numerators as per given numbers 6805/710, 3552/5776 is
GCF of Numerators i.e. for 6805,3552 is 1
LCM of denominators i.e. for 710,5776 is 2050480.
Thus, GCF of Fractions is 1/2050480.Finally, GCF of Fractions for 6805/710, 3552/5776 is 1/2050480.