GCF of 1190/822, 8028/701
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1190/822, 8028/701 i.e 2/576222 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1190/822, 8028/701.
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 1190/822,8028/701?
Given fractions are 1190/822,8028/701
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 1190/822,8028/701, numerators are 1190,8028
Denominators are 822,701
The GCF of 1190,8028 is 2 .
LCM of 822,701 is 576222.
The greatest common factor of 1190/822,8028/701 = [GCF of 1190,8028]/[LCM of 822,701]= 2/576222
Therefore, the GCF of 1190/822,8028/701 is 2/576222.
To find the highest common factor of 1190,8028, we have to find the factors of both numbers and list the highest common factor.
The factors of 1190 are 1, 2, 5, 7, 10, 14, 17, 34, 35, 70, 85, 119, 170, 238, 595, 1190
The factors of 8028 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 223, 446, 669, 892, 1338, 2007, 2676, 4014, 8028
The HCF of 1190,8028 is 2.
Lets's calculate GCF of 1190,8028
| 2 | 1190, 8028 |
| 595, 4014 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1190,8028 By Matching Biggest Common Factor Method
Now, list down the factors of 1190
:1,2,5,7,10,14,17,34,35,70,85,119,170,238,595,1190
Now, list down the factors of 8028
:1,2,3,4,6,9,12,18,36,223,446,669,892,1338,2007,2676,4014,8028
Greatest Common Factor
We found the factors 1190,8028 . The biggest common factor number is the GCF number.
So the greatest common factor 1190,8028 is 2.
Lets's calculate LCM of 822,701
Given numbers has no common factors except 1. So, there LCM is their product i.e 576222
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/576222
Therefore, the GCF of Fractions 1190/822,8028/701 is 2/576222
Least Common Multiple of 822,701 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 822,701 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(822,701) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(822,701) x common factors =1 x 1 = 1
LCM(822,701) = ( 822 × 701 ) / 1
LCM(822,701) = 576222 / 1
LCM(822,701) = 576222
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FAQs on GCF of Fractions of 1190/822, 8028/701
1. What is the HCF of 1190,8028?
The HCF of 1190,8028 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 1190/822, 8028/701?
Answer: GCF of Numerators as per given numbers 1190/822, 8028/701 is
GCF of Numerators i.e. for 1190,8028 is 2
LCM of denominators i.e. for 822,701 is 576222.
Thus, GCF of Fractions is 2/576222.Finally, GCF of Fractions for 1190/822, 8028/701 is 2/576222.