GCF of 5550/695, 6844/1024
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5550/695, 6844/1024 i.e 2/711680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5550/695, 6844/1024.
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 5550/695,6844/1024?
Given fractions are 5550/695,6844/1024
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 5550/695,6844/1024, numerators are 5550,6844
Denominators are 695,1024
The GCF of 5550,6844 is 2 .
LCM of 695,1024 is 711680.
The greatest common factor of 5550/695,6844/1024 = [GCF of 5550,6844]/[LCM of 695,1024]= 2/711680
Therefore, the GCF of 5550/695,6844/1024 is 2/711680.
To find the highest common factor of 5550,6844, we have to find the factors of both numbers and list the highest common factor.
The factors of 5550 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 37, 50, 74, 75, 111, 150, 185, 222, 370, 555, 925, 1110, 1850, 2775, 5550
The factors of 6844 are 1, 2, 4, 29, 58, 59, 116, 118, 236, 1711, 3422, 6844
The HCF of 5550,6844 is 2.
Lets's calculate GCF of 5550,6844
| 2 | 5550, 6844 |
| 2775, 3422 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5550,6844 By Matching Biggest Common Factor Method
Now, list down the factors of 5550
:1,2,3,5,6,10,15,25,30,37,50,74,75,111,150,185,222,370,555,925,1110,1850,2775,5550
Now, list down the factors of 6844
:1,2,4,29,58,59,116,118,236,1711,3422,6844
Greatest Common Factor
We found the factors 5550,6844 . The biggest common factor number is the GCF number.
So the greatest common factor 5550,6844 is 2.
Lets's calculate LCM of 695,1024
Given numbers has no common factors except 1. So, there LCM is their product i.e 711680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/711680
Therefore, the GCF of Fractions 5550/695,6844/1024 is 2/711680
Least Common Multiple of 695,1024 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 695,1024 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(695,1024) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(695,1024) x common factors =1 x 1 = 1
LCM(695,1024) = ( 695 × 1024 ) / 1
LCM(695,1024) = 711680 / 1
LCM(695,1024) = 711680
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FAQs on GCF of Fractions of 5550/695, 6844/1024
1. What is the HCF of 5550,6844?
The HCF of 5550,6844 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 5550/695, 6844/1024?
Answer: GCF of Numerators as per given numbers 5550/695, 6844/1024 is
GCF of Numerators i.e. for 5550,6844 is 2
LCM of denominators i.e. for 695,1024 is 711680.
Thus, GCF of Fractions is 2/711680.Finally, GCF of Fractions for 5550/695, 6844/1024 is 2/711680.