GCF of 7102/486, 6754/567
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7102/486, 6754/567 i.e 2/3402 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7102/486, 6754/567.
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 7102/486,6754/567?
Given fractions are 7102/486,6754/567
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 7102/486,6754/567, numerators are 7102,6754
Denominators are 486,567
The GCF of 7102,6754 is 2 .
LCM of 486,567 is 3402.
The greatest common factor of 7102/486,6754/567 = [GCF of 7102,6754]/[LCM of 486,567]= 2/3402
Therefore, the GCF of 7102/486,6754/567 is 2/3402.
To find the highest common factor of 7102,6754, we have to find the factors of both numbers and list the highest common factor.
The factors of 7102 are 1, 2, 53, 67, 106, 134, 3551, 7102
The factors of 6754 are 1, 2, 11, 22, 307, 614, 3377, 6754
The HCF of 7102,6754 is 2.
Lets's calculate GCF of 7102,6754
| 2 | 7102, 6754 |
| 3551, 3377 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7102,6754 By Matching Biggest Common Factor Method
Now, list down the factors of 7102
:1,2,53,67,106,134,3551,7102
Now, list down the factors of 6754
:1,2,11,22,307,614,3377,6754
Greatest Common Factor
We found the factors 7102,6754 . The biggest common factor number is the GCF number.
So the greatest common factor 7102,6754 is 2.
Lets's calculate LCM of 486,567
| 3 | 486, 567 |
| 3 | 162, 189 |
| 3 | 54, 63 |
| 3 | 18, 21 |
| 6, 7 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 3 x 6 x 7 = 3402
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3402
Therefore, the GCF of Fractions 7102/486,6754/567 is 2/3402
Least Common Multiple of 486,567 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 486,567 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(486,567) = 81
common factors(in case of two or more numbers have common factors) = 1
GCF(486,567) x common factors =81 x 1 = 81
LCM(486,567) = ( 486 × 567 ) / 81
LCM(486,567) = 275562 / 81
LCM(486,567) = 3402
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FAQs on GCF of Fractions of 7102/486, 6754/567
1. What is the HCF of 7102,6754?
The HCF of 7102,6754 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 7102/486, 6754/567?
Answer: GCF of Numerators as per given numbers 7102/486, 6754/567 is
GCF of Numerators i.e. for 7102,6754 is 2
LCM of denominators i.e. for 486,567 is 3402.
Thus, GCF of Fractions is 2/3402.Finally, GCF of Fractions for 7102/486, 6754/567 is 2/3402.