GCF of 808/772, 840/761
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 808/772, 840/761 i.e 8/587492 easily. The following is the detailed procedure to determine the greatest common factor of fractions 808/772, 840/761.
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 808/772,840/761?
Given fractions are 808/772,840/761
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 808/772,840/761, numerators are 808,840
Denominators are 772,761
The GCF of 808,840 is 8 .
LCM of 772,761 is 587492.
The greatest common factor of 808/772,840/761 = [GCF of 808,840]/[LCM of 772,761]= 8/587492
Therefore, the GCF of 808/772,840/761 is 8/587492.
To find the highest common factor of 808,840, we have to find the factors of both numbers and list the highest common factor.
The factors of 808 are 1, 2, 4, 8, 101, 202, 404, 808
The factors of 840 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
The HCF of 808,840 is 8.
Lets's calculate GCF of 808,840
| 2 | 808, 840 |
| 2 | 404, 420 |
| 2 | 202, 210 |
| 101, 105 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 808,840 By Matching Biggest Common Factor Method
Now, list down the factors of 808
:1,2,4,8,101,202,404,808
Now, list down the factors of 840
:1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840
Greatest Common Factor
We found the factors 808,840 . The biggest common factor number is the GCF number.
So the greatest common factor 808,840 is 8.
Lets's calculate LCM of 772,761
Given numbers has no common factors except 1. So, there LCM is their product i.e 587492
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/587492
Therefore, the GCF of Fractions 808/772,840/761 is 8/587492
Least Common Multiple of 772,761 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 772,761 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(772,761) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(772,761) x common factors =1 x 1 = 1
LCM(772,761) = ( 772 × 761 ) / 1
LCM(772,761) = 587492 / 1
LCM(772,761) = 587492
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FAQs on GCF of Fractions of 808/772, 840/761
1. What is the HCF of 808,840?
The HCF of 808,840 is 8
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 808/772, 840/761?
Answer: GCF of Numerators as per given numbers 808/772, 840/761 is
GCF of Numerators i.e. for 808,840 is 8
LCM of denominators i.e. for 772,761 is 587492.
Thus, GCF of Fractions is 8/587492.Finally, GCF of Fractions for 808/772, 840/761 is 8/587492.