GCF of 874/576, 689/149
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 874/576, 689/149 i.e 1/85824 easily. The following is the detailed procedure to determine the greatest common factor of fractions 874/576, 689/149.
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 874/576,689/149?
Given fractions are 874/576,689/149
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 874/576,689/149, numerators are 874,689
Denominators are 576,149
The GCF of 874,689 is 1 .
LCM of 576,149 is 85824.
The greatest common factor of 874/576,689/149 = [GCF of 874,689]/[LCM of 576,149]= 1/85824
Therefore, the GCF of 874/576,689/149 is 1/85824.
To find the highest common factor of 874,689, we have to find the factors of both numbers and list the highest common factor.
The factors of 874 are 1, 2, 19, 23, 38, 46, 437, 874
The factors of 689 are 1, 13, 53, 689
The HCF of 874,689 is 1.
Lets's calculate GCF of 874,689
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 874,689 By Matching Biggest Common Factor Method
Now, list down the factors of 874
:1,2,19,23,38,46,437,874
Now, list down the factors of 689
:1,13,53,689
Greatest Common Factor
We found the factors 874,689 . The biggest common factor number is the GCF number.
So the greatest common factor 874,689 is 1.
Lets's calculate LCM of 576,149
Given numbers has no common factors except 1. So, there LCM is their product i.e 85824
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/85824
Therefore, the GCF of Fractions 874/576,689/149 is 1/85824
Least Common Multiple of 576,149 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 576,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(576,149) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(576,149) x common factors =1 x 1 = 1
LCM(576,149) = ( 576 × 149 ) / 1
LCM(576,149) = 85824 / 1
LCM(576,149) = 85824
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FAQs on GCF of Fractions of 874/576, 689/149
1. What is the HCF of 874,689?
The HCF of 874,689 is 1
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 874/576, 689/149?
Answer: GCF of Numerators as per given numbers 874/576, 689/149 is
GCF of Numerators i.e. for 874,689 is 1
LCM of denominators i.e. for 576,149 is 85824.
Thus, GCF of Fractions is 1/85824.Finally, GCF of Fractions for 874/576, 689/149 is 1/85824.