GCF of 6897/877, 2068/998
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6897/877, 2068/998 i.e 11/875246 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6897/877, 2068/998.
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 6897/877,2068/998?
Given fractions are 6897/877,2068/998
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 6897/877,2068/998, numerators are 6897,2068
Denominators are 877,998
The GCF of 6897,2068 is 11 .
LCM of 877,998 is 875246.
The greatest common factor of 6897/877,2068/998 = [GCF of 6897,2068]/[LCM of 877,998]= 11/875246
Therefore, the GCF of 6897/877,2068/998 is 11/875246.
To find the highest common factor of 6897,2068, we have to find the factors of both numbers and list the highest common factor.
The factors of 6897 are 1, 3, 11, 19, 33, 57, 121, 209, 363, 627, 2299, 6897
The factors of 2068 are 1, 2, 4, 11, 22, 44, 47, 94, 188, 517, 1034, 2068
The HCF of 6897,2068 is 11.
Lets's calculate GCF of 6897,2068
| 11 | 6897, 2068 |
| 627, 188 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 6897,2068 By Matching Biggest Common Factor Method
Now, list down the factors of 6897
:1,3,11,19,33,57,121,209,363,627,2299,6897
Now, list down the factors of 2068
:1,2,4,11,22,44,47,94,188,517,1034,2068
Greatest Common Factor
We found the factors 6897,2068 . The biggest common factor number is the GCF number.
So the greatest common factor 6897,2068 is 11.
Lets's calculate LCM of 877,998
Given numbers has no common factors except 1. So, there LCM is their product i.e 875246
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/875246
Therefore, the GCF of Fractions 6897/877,2068/998 is 11/875246
Least Common Multiple of 877,998 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 877,998 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(877,998) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(877,998) x common factors =1 x 1 = 1
LCM(877,998) = ( 877 × 998 ) / 1
LCM(877,998) = 875246 / 1
LCM(877,998) = 875246
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FAQs on GCF of Fractions of 6897/877, 2068/998
1. What is the HCF of 6897,2068?
The HCF of 6897,2068 is 11
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 6897/877, 2068/998?
Answer: GCF of Numerators as per given numbers 6897/877, 2068/998 is
GCF of Numerators i.e. for 6897,2068 is 11
LCM of denominators i.e. for 877,998 is 875246.
Thus, GCF of Fractions is 11/875246.Finally, GCF of Fractions for 6897/877, 2068/998 is 11/875246.