GCF of 5476/690, 6812/1618
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5476/690, 6812/1618 i.e 4/558210 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5476/690, 6812/1618.
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 5476/690,6812/1618?
Given fractions are 5476/690,6812/1618
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 5476/690,6812/1618, numerators are 5476,6812
Denominators are 690,1618
The GCF of 5476,6812 is 4 .
LCM of 690,1618 is 558210.
The greatest common factor of 5476/690,6812/1618 = [GCF of 5476,6812]/[LCM of 690,1618]= 4/558210
Therefore, the GCF of 5476/690,6812/1618 is 4/558210.
To find the highest common factor of 5476,6812, we have to find the factors of both numbers and list the highest common factor.
The factors of 5476 are 1, 2, 4, 37, 74, 148, 1369, 2738, 5476
The factors of 6812 are 1, 2, 4, 13, 26, 52, 131, 262, 524, 1703, 3406, 6812
The HCF of 5476,6812 is 4.
Lets's calculate GCF of 5476,6812
| 2 | 5476, 6812 |
| 2 | 2738, 3406 |
| 1369, 1703 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 5476,6812 By Matching Biggest Common Factor Method
Now, list down the factors of 5476
:1,2,4,37,74,148,1369,2738,5476
Now, list down the factors of 6812
:1,2,4,13,26,52,131,262,524,1703,3406,6812
Greatest Common Factor
We found the factors 5476,6812 . The biggest common factor number is the GCF number.
So the greatest common factor 5476,6812 is 4.
Lets's calculate LCM of 690,1618
| 2 | 690, 1618 |
| 345, 809 |
∴ So the LCM of the given numbers is 2 x 345 x 809 = 558210
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/558210
Therefore, the GCF of Fractions 5476/690,6812/1618 is 4/558210
Least Common Multiple of 690,1618 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 690,1618 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(690,1618) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(690,1618) x common factors =2 x 1 = 2
LCM(690,1618) = ( 690 × 1618 ) / 2
LCM(690,1618) = 1116420 / 2
LCM(690,1618) = 558210
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FAQs on GCF of Fractions of 5476/690, 6812/1618
1. What is the HCF of 5476,6812?
The HCF of 5476,6812 is 4
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 5476/690, 6812/1618?
Answer: GCF of Numerators as per given numbers 5476/690, 6812/1618 is
GCF of Numerators i.e. for 5476,6812 is 4
LCM of denominators i.e. for 690,1618 is 558210.
Thus, GCF of Fractions is 4/558210.Finally, GCF of Fractions for 5476/690, 6812/1618 is 4/558210.