GCF of 6511/702, 8058/671
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6511/702, 8058/671 i.e 17/471042 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6511/702, 8058/671.
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 6511/702,8058/671?
Given fractions are 6511/702,8058/671
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 6511/702,8058/671, numerators are 6511,8058
Denominators are 702,671
The GCF of 6511,8058 is 17 .
LCM of 702,671 is 471042.
The greatest common factor of 6511/702,8058/671 = [GCF of 6511,8058]/[LCM of 702,671]= 17/471042
Therefore, the GCF of 6511/702,8058/671 is 17/471042.
To find the highest common factor of 6511,8058, we have to find the factors of both numbers and list the highest common factor.
The factors of 6511 are 1, 17, 383, 6511
The factors of 8058 are 1, 2, 3, 6, 17, 34, 51, 79, 102, 158, 237, 474, 1343, 2686, 4029, 8058
The HCF of 6511,8058 is 17.
Lets's calculate GCF of 6511,8058
| 17 | 6511, 8058 |
| 383, 474 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 6511,8058 By Matching Biggest Common Factor Method
Now, list down the factors of 6511
:1,17,383,6511
Now, list down the factors of 8058
:1,2,3,6,17,34,51,79,102,158,237,474,1343,2686,4029,8058
Greatest Common Factor
We found the factors 6511,8058 . The biggest common factor number is the GCF number.
So the greatest common factor 6511,8058 is 17.
Lets's calculate LCM of 702,671
Given numbers has no common factors except 1. So, there LCM is their product i.e 471042
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/471042
Therefore, the GCF of Fractions 6511/702,8058/671 is 17/471042
Least Common Multiple of 702,671 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 702,671 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(702,671) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(702,671) x common factors =1 x 1 = 1
LCM(702,671) = ( 702 × 671 ) / 1
LCM(702,671) = 471042 / 1
LCM(702,671) = 471042
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FAQs on GCF of Fractions of 6511/702, 8058/671
1. What is the HCF of 6511,8058?
The HCF of 6511,8058 is 17
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 6511/702, 8058/671?
Answer: GCF of Numerators as per given numbers 6511/702, 8058/671 is
GCF of Numerators i.e. for 6511,8058 is 17
LCM of denominators i.e. for 702,671 is 471042.
Thus, GCF of Fractions is 17/471042.Finally, GCF of Fractions for 6511/702, 8058/671 is 17/471042.