GCF of 802/741, 238/671
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 802/741, 238/671 i.e 2/497211 easily. The following is the detailed procedure to determine the greatest common factor of fractions 802/741, 238/671.
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 802/741,238/671?
Given fractions are 802/741,238/671
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 802/741,238/671, numerators are 802,238
Denominators are 741,671
The GCF of 802,238 is 2 .
LCM of 741,671 is 497211.
The greatest common factor of 802/741,238/671 = [GCF of 802,238]/[LCM of 741,671]= 2/497211
Therefore, the GCF of 802/741,238/671 is 2/497211.
To find the highest common factor of 802,238, we have to find the factors of both numbers and list the highest common factor.
The factors of 802 are 1, 2, 401, 802
The factors of 238 are 1, 2, 7, 14, 17, 34, 119, 238
The HCF of 802,238 is 2.
Lets's calculate GCF of 802,238
| 2 | 802, 238 |
| 401, 119 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 802,238 By Matching Biggest Common Factor Method
Now, list down the factors of 802
:1,2,401,802
Now, list down the factors of 238
:1,2,7,14,17,34,119,238
Greatest Common Factor
We found the factors 802,238 . The biggest common factor number is the GCF number.
So the greatest common factor 802,238 is 2.
Lets's calculate LCM of 741,671
Given numbers has no common factors except 1. So, there LCM is their product i.e 497211
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/497211
Therefore, the GCF of Fractions 802/741,238/671 is 2/497211
Least Common Multiple of 741,671 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 741,671 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(741,671) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(741,671) x common factors =1 x 1 = 1
LCM(741,671) = ( 741 × 671 ) / 1
LCM(741,671) = 497211 / 1
LCM(741,671) = 497211
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FAQs on GCF of Fractions of 802/741, 238/671
1. What is the HCF of 802,238?
The HCF of 802,238 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 802/741, 238/671?
Answer: GCF of Numerators as per given numbers 802/741, 238/671 is
GCF of Numerators i.e. for 802,238 is 2
LCM of denominators i.e. for 741,671 is 497211.
Thus, GCF of Fractions is 2/497211.Finally, GCF of Fractions for 802/741, 238/671 is 2/497211.