GCF of 6982/768, 4904/543
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6982/768, 4904/543 i.e 2/139008 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6982/768, 4904/543.
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 6982/768,4904/543?
Given fractions are 6982/768,4904/543
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 6982/768,4904/543, numerators are 6982,4904
Denominators are 768,543
The GCF of 6982,4904 is 2 .
LCM of 768,543 is 139008.
The greatest common factor of 6982/768,4904/543 = [GCF of 6982,4904]/[LCM of 768,543]= 2/139008
Therefore, the GCF of 6982/768,4904/543 is 2/139008.
To find the highest common factor of 6982,4904, 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 4904 are 1, 2, 4, 8, 613, 1226, 2452, 4904
The HCF of 6982,4904 is 2.
Lets's calculate GCF of 6982,4904
| 2 | 6982, 4904 |
| 3491, 2452 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6982,4904 By Matching Biggest Common Factor Method
Now, list down the factors of 6982
:1,2,3491,6982
Now, list down the factors of 4904
:1,2,4,8,613,1226,2452,4904
Greatest Common Factor
We found the factors 6982,4904 . The biggest common factor number is the GCF number.
So the greatest common factor 6982,4904 is 2.
Lets's calculate LCM of 768,543
| 3 | 768, 543 |
| 256, 181 |
∴ So the LCM of the given numbers is 3 x 256 x 181 = 139008
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/139008
Therefore, the GCF of Fractions 6982/768,4904/543 is 2/139008
Least Common Multiple of 768,543 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 768,543 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(768,543) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(768,543) x common factors =3 x 1 = 3
LCM(768,543) = ( 768 × 543 ) / 3
LCM(768,543) = 417024 / 3
LCM(768,543) = 139008
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FAQs on GCF of Fractions of 6982/768, 4904/543
1. What is the HCF of 6982,4904?
The HCF of 6982,4904 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 6982/768, 4904/543?
Answer: GCF of Numerators as per given numbers 6982/768, 4904/543 is
GCF of Numerators i.e. for 6982,4904 is 2
LCM of denominators i.e. for 768,543 is 139008.
Thus, GCF of Fractions is 2/139008.Finally, GCF of Fractions for 6982/768, 4904/543 is 2/139008.