GCF of 805/822, 7075/149
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 805/822, 7075/149 i.e 5/122478 easily. The following is the detailed procedure to determine the greatest common factor of fractions 805/822, 7075/149.
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 805/822,7075/149?
Given fractions are 805/822,7075/149
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 805/822,7075/149, numerators are 805,7075
Denominators are 822,149
The GCF of 805,7075 is 5 .
LCM of 822,149 is 122478.
The greatest common factor of 805/822,7075/149 = [GCF of 805,7075]/[LCM of 822,149]= 5/122478
Therefore, the GCF of 805/822,7075/149 is 5/122478.
To find the highest common factor of 805,7075, we have to find the factors of both numbers and list the highest common factor.
The factors of 805 are 1, 5, 7, 23, 35, 115, 161, 805
The factors of 7075 are 1, 5, 25, 283, 1415, 7075
The HCF of 805,7075 is 5.
Lets's calculate GCF of 805,7075
| 5 | 805, 7075 |
| 161, 1415 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 805,7075 By Matching Biggest Common Factor Method
Now, list down the factors of 805
:1,5,7,23,35,115,161,805
Now, list down the factors of 7075
:1,5,25,283,1415,7075
Greatest Common Factor
We found the factors 805,7075 . The biggest common factor number is the GCF number.
So the greatest common factor 805,7075 is 5.
Lets's calculate LCM of 822,149
Given numbers has no common factors except 1. So, there LCM is their product i.e 122478
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/122478
Therefore, the GCF of Fractions 805/822,7075/149 is 5/122478
Least Common Multiple of 822,149 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 822,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(822,149) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(822,149) x common factors =1 x 1 = 1
LCM(822,149) = ( 822 × 149 ) / 1
LCM(822,149) = 122478 / 1
LCM(822,149) = 122478
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FAQs on GCF of Fractions of 805/822, 7075/149
1. What is the HCF of 805,7075?
The HCF of 805,7075 is 5
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 805/822, 7075/149?
Answer: GCF of Numerators as per given numbers 805/822, 7075/149 is
GCF of Numerators i.e. for 805,7075 is 5
LCM of denominators i.e. for 822,149 is 122478.
Thus, GCF of Fractions is 5/122478.Finally, GCF of Fractions for 805/822, 7075/149 is 5/122478.