GCF of 7218/676, 7461/1492
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7218/676, 7461/1492 i.e 9/252148 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7218/676, 7461/1492.
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 7218/676,7461/1492?
Given fractions are 7218/676,7461/1492
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 7218/676,7461/1492, numerators are 7218,7461
Denominators are 676,1492
The GCF of 7218,7461 is 9 .
LCM of 676,1492 is 252148.
The greatest common factor of 7218/676,7461/1492 = [GCF of 7218,7461]/[LCM of 676,1492]= 9/252148
Therefore, the GCF of 7218/676,7461/1492 is 9/252148.
To find the highest common factor of 7218,7461, we have to find the factors of both numbers and list the highest common factor.
The factors of 7218 are 1, 2, 3, 6, 9, 18, 401, 802, 1203, 2406, 3609, 7218
The factors of 7461 are 1, 3, 9, 829, 2487, 7461
The HCF of 7218,7461 is 9.
Lets's calculate GCF of 7218,7461
| 3 | 7218, 7461 |
| 3 | 2406, 2487 |
| 802, 829 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 7218,7461 By Matching Biggest Common Factor Method
Now, list down the factors of 7218
:1,2,3,6,9,18,401,802,1203,2406,3609,7218
Now, list down the factors of 7461
:1,3,9,829,2487,7461
Greatest Common Factor
We found the factors 7218,7461 . The biggest common factor number is the GCF number.
So the greatest common factor 7218,7461 is 9.
Lets's calculate LCM of 676,1492
| 2 | 676, 1492 |
| 2 | 338, 746 |
| 169, 373 |
∴ So the LCM of the given numbers is 2 x 2 x 169 x 373 = 252148
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/252148
Therefore, the GCF of Fractions 7218/676,7461/1492 is 9/252148
Least Common Multiple of 676,1492 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 676,1492 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(676,1492) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(676,1492) x common factors =4 x 1 = 4
LCM(676,1492) = ( 676 × 1492 ) / 4
LCM(676,1492) = 1008592 / 4
LCM(676,1492) = 252148
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FAQs on GCF of Fractions of 7218/676, 7461/1492
1. What is the HCF of 7218,7461?
The HCF of 7218,7461 is 9
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 7218/676, 7461/1492?
Answer: GCF of Numerators as per given numbers 7218/676, 7461/1492 is
GCF of Numerators i.e. for 7218,7461 is 9
LCM of denominators i.e. for 676,1492 is 252148.
Thus, GCF of Fractions is 9/252148.Finally, GCF of Fractions for 7218/676, 7461/1492 is 9/252148.