GCF of 6281/932, 6897/5635
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6281/932, 6897/5635 i.e 11/5251820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6281/932, 6897/5635.
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 6281/932,6897/5635?
Given fractions are 6281/932,6897/5635
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 6281/932,6897/5635, numerators are 6281,6897
Denominators are 932,5635
The GCF of 6281,6897 is 11 .
LCM of 932,5635 is 5251820.
The greatest common factor of 6281/932,6897/5635 = [GCF of 6281,6897]/[LCM of 932,5635]= 11/5251820
Therefore, the GCF of 6281/932,6897/5635 is 11/5251820.
To find the highest common factor of 6281,6897, we have to find the factors of both numbers and list the highest common factor.
The factors of 6281 are 1, 11, 571, 6281
The factors of 6897 are 1, 3, 11, 19, 33, 57, 121, 209, 363, 627, 2299, 6897
The HCF of 6281,6897 is 11.
Lets's calculate GCF of 6281,6897
| 11 | 6281, 6897 |
| 571, 627 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 6281,6897 By Matching Biggest Common Factor Method
Now, list down the factors of 6281
:1,11,571,6281
Now, list down the factors of 6897
:1,3,11,19,33,57,121,209,363,627,2299,6897
Greatest Common Factor
We found the factors 6281,6897 . The biggest common factor number is the GCF number.
So the greatest common factor 6281,6897 is 11.
Lets's calculate LCM of 932,5635
Given numbers has no common factors except 1. So, there LCM is their product i.e 5251820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/5251820
Therefore, the GCF of Fractions 6281/932,6897/5635 is 11/5251820
Least Common Multiple of 932,5635 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 932,5635 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(932,5635) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(932,5635) x common factors =1 x 1 = 1
LCM(932,5635) = ( 932 × 5635 ) / 1
LCM(932,5635) = 5251820 / 1
LCM(932,5635) = 5251820
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FAQs on GCF of Fractions of 6281/932, 6897/5635
1. What is the HCF of 6281,6897?
The HCF of 6281,6897 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 6281/932, 6897/5635?
Answer: GCF of Numerators as per given numbers 6281/932, 6897/5635 is
GCF of Numerators i.e. for 6281,6897 is 11
LCM of denominators i.e. for 932,5635 is 5251820.
Thus, GCF of Fractions is 11/5251820.Finally, GCF of Fractions for 6281/932, 6897/5635 is 11/5251820.