GCF of 862/21, 988/671
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 862/21, 988/671 i.e 2/14091 easily. The following is the detailed procedure to determine the greatest common factor of fractions 862/21, 988/671.
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 862/21,988/671?
Given fractions are 862/21,988/671
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 862/21,988/671, numerators are 862,988
Denominators are 21,671
The GCF of 862,988 is 2 .
LCM of 21,671 is 14091.
The greatest common factor of 862/21,988/671 = [GCF of 862,988]/[LCM of 21,671]= 2/14091
Therefore, the GCF of 862/21,988/671 is 2/14091.
To find the highest common factor of 862,988, we have to find the factors of both numbers and list the highest common factor.
The factors of 862 are 1, 2, 431, 862
The factors of 988 are 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
The HCF of 862,988 is 2.
Lets's calculate GCF of 862,988
| 2 | 862, 988 |
| 431, 494 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 862,988 By Matching Biggest Common Factor Method
Now, list down the factors of 862
:1,2,431,862
Now, list down the factors of 988
:1,2,4,13,19,26,38,52,76,247,494,988
Greatest Common Factor
We found the factors 862,988 . The biggest common factor number is the GCF number.
So the greatest common factor 862,988 is 2.
Lets's calculate LCM of 21,671
Given numbers has no common factors except 1. So, there LCM is their product i.e 14091
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/14091
Therefore, the GCF of Fractions 862/21,988/671 is 2/14091
Least Common Multiple of 21,671 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 21,671 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,671) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(21,671) x common factors =1 x 1 = 1
LCM(21,671) = ( 21 × 671 ) / 1
LCM(21,671) = 14091 / 1
LCM(21,671) = 14091
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FAQs on GCF of Fractions of 862/21, 988/671
1. What is the HCF of 862,988?
The HCF of 862,988 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 862/21, 988/671?
Answer: GCF of Numerators as per given numbers 862/21, 988/671 is
GCF of Numerators i.e. for 862,988 is 2
LCM of denominators i.e. for 21,671 is 14091.
Thus, GCF of Fractions is 2/14091.Finally, GCF of Fractions for 862/21, 988/671 is 2/14091.