GCF of 6982/867, 4564/5870
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6982/867, 4564/5870 i.e 2/5089290 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6982/867, 4564/5870.
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 6982/867,4564/5870?
Given fractions are 6982/867,4564/5870
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 6982/867,4564/5870, numerators are 6982,4564
Denominators are 867,5870
The GCF of 6982,4564 is 2 .
LCM of 867,5870 is 5089290.
The greatest common factor of 6982/867,4564/5870 = [GCF of 6982,4564]/[LCM of 867,5870]= 2/5089290
Therefore, the GCF of 6982/867,4564/5870 is 2/5089290.
To find the highest common factor of 6982,4564, we have to find the factors of both numbers and list the highest common factor.
The factors of 6982 are 1, 2, 3491, 6982
The factors of 4564 are 1, 2, 4, 7, 14, 28, 163, 326, 652, 1141, 2282, 4564
The HCF of 6982,4564 is 2.
Lets's calculate GCF of 6982,4564
| 2 | 6982, 4564 |
| 3491, 2282 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6982,4564 By Matching Biggest Common Factor Method
Now, list down the factors of 6982
:1,2,3491,6982
Now, list down the factors of 4564
:1,2,4,7,14,28,163,326,652,1141,2282,4564
Greatest Common Factor
We found the factors 6982,4564 . The biggest common factor number is the GCF number.
So the greatest common factor 6982,4564 is 2.
Lets's calculate LCM of 867,5870
Given numbers has no common factors except 1. So, there LCM is their product i.e 5089290
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5089290
Therefore, the GCF of Fractions 6982/867,4564/5870 is 2/5089290
Least Common Multiple of 867,5870 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 867,5870 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(867,5870) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(867,5870) x common factors =1 x 1 = 1
LCM(867,5870) = ( 867 × 5870 ) / 1
LCM(867,5870) = 5089290 / 1
LCM(867,5870) = 5089290
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FAQs on GCF of Fractions of 6982/867, 4564/5870
1. What is the HCF of 6982,4564?
The HCF of 6982,4564 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 6982/867, 4564/5870?
Answer: GCF of Numerators as per given numbers 6982/867, 4564/5870 is
GCF of Numerators i.e. for 6982,4564 is 2
LCM of denominators i.e. for 867,5870 is 5089290.
Thus, GCF of Fractions is 2/5089290.Finally, GCF of Fractions for 6982/867, 4564/5870 is 2/5089290.