GCF of 7216/850, 8882/862
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7216/850, 8882/862 i.e 2/366350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7216/850, 8882/862.
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 7216/850,8882/862?
Given fractions are 7216/850,8882/862
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 7216/850,8882/862, numerators are 7216,8882
Denominators are 850,862
The GCF of 7216,8882 is 2 .
LCM of 850,862 is 366350.
The greatest common factor of 7216/850,8882/862 = [GCF of 7216,8882]/[LCM of 850,862]= 2/366350
Therefore, the GCF of 7216/850,8882/862 is 2/366350.
To find the highest common factor of 7216,8882, we have to find the factors of both numbers and list the highest common factor.
The factors of 7216 are 1, 2, 4, 8, 11, 16, 22, 41, 44, 82, 88, 164, 176, 328, 451, 656, 902, 1804, 3608, 7216
The factors of 8882 are 1, 2, 4441, 8882
The HCF of 7216,8882 is 2.
Lets's calculate GCF of 7216,8882
| 2 | 7216, 8882 |
| 3608, 4441 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7216,8882 By Matching Biggest Common Factor Method
Now, list down the factors of 7216
:1,2,4,8,11,16,22,41,44,82,88,164,176,328,451,656,902,1804,3608,7216
Now, list down the factors of 8882
:1,2,4441,8882
Greatest Common Factor
We found the factors 7216,8882 . The biggest common factor number is the GCF number.
So the greatest common factor 7216,8882 is 2.
Lets's calculate LCM of 850,862
| 2 | 850, 862 |
| 425, 431 |
∴ So the LCM of the given numbers is 2 x 425 x 431 = 366350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/366350
Therefore, the GCF of Fractions 7216/850,8882/862 is 2/366350
Least Common Multiple of 850,862 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 850,862 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(850,862) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(850,862) x common factors =2 x 1 = 2
LCM(850,862) = ( 850 × 862 ) / 2
LCM(850,862) = 732700 / 2
LCM(850,862) = 366350
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FAQs on GCF of Fractions of 7216/850, 8882/862
1. What is the HCF of 7216,8882?
The HCF of 7216,8882 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 7216/850, 8882/862?
Answer: GCF of Numerators as per given numbers 7216/850, 8882/862 is
GCF of Numerators i.e. for 7216,8882 is 2
LCM of denominators i.e. for 850,862 is 366350.
Thus, GCF of Fractions is 2/366350.Finally, GCF of Fractions for 7216/850, 8882/862 is 2/366350.