GCF of 544/762, 674/109
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 544/762, 674/109 i.e 2/83058 easily. The following is the detailed procedure to determine the greatest common factor of fractions 544/762, 674/109.
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 544/762,674/109?
Given fractions are 544/762,674/109
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 544/762,674/109, numerators are 544,674
Denominators are 762,109
The GCF of 544,674 is 2 .
LCM of 762,109 is 83058.
The greatest common factor of 544/762,674/109 = [GCF of 544,674]/[LCM of 762,109]= 2/83058
Therefore, the GCF of 544/762,674/109 is 2/83058.
To find the highest common factor of 544,674, we have to find the factors of both numbers and list the highest common factor.
The factors of 544 are 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
The factors of 674 are 1, 2, 337, 674
The HCF of 544,674 is 2.
Lets's calculate GCF of 544,674
| 2 | 544, 674 |
| 272, 337 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 544,674 By Matching Biggest Common Factor Method
Now, list down the factors of 544
:1,2,4,8,16,17,32,34,68,136,272,544
Now, list down the factors of 674
:1,2,337,674
Greatest Common Factor
We found the factors 544,674 . The biggest common factor number is the GCF number.
So the greatest common factor 544,674 is 2.
Lets's calculate LCM of 762,109
Given numbers has no common factors except 1. So, there LCM is their product i.e 83058
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/83058
Therefore, the GCF of Fractions 544/762,674/109 is 2/83058
Least Common Multiple of 762,109 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 762,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(762,109) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(762,109) x common factors =1 x 1 = 1
LCM(762,109) = ( 762 × 109 ) / 1
LCM(762,109) = 83058 / 1
LCM(762,109) = 83058
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FAQs on GCF of Fractions of 544/762, 674/109
1. What is the HCF of 544,674?
The HCF of 544,674 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 544/762, 674/109?
Answer: GCF of Numerators as per given numbers 544/762, 674/109 is
GCF of Numerators i.e. for 544,674 is 2
LCM of denominators i.e. for 762,109 is 83058.
Thus, GCF of Fractions is 2/83058.Finally, GCF of Fractions for 544/762, 674/109 is 2/83058.