GCF of 5669/425, 5932/5140
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5669/425, 5932/5140 i.e 1/436900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5669/425, 5932/5140.
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 5669/425,5932/5140?
Given fractions are 5669/425,5932/5140
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 5669/425,5932/5140, numerators are 5669,5932
Denominators are 425,5140
The GCF of 5669,5932 is 1 .
LCM of 425,5140 is 436900.
The greatest common factor of 5669/425,5932/5140 = [GCF of 5669,5932]/[LCM of 425,5140]= 1/436900
Therefore, the GCF of 5669/425,5932/5140 is 1/436900.
To find the highest common factor of 5669,5932, we have to find the factors of both numbers and list the highest common factor.
The factors of 5669 are 1, 5669
The factors of 5932 are 1, 2, 4, 1483, 2966, 5932
The HCF of 5669,5932 is 1.
Lets's calculate GCF of 5669,5932
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5669,5932 By Matching Biggest Common Factor Method
Now, list down the factors of 5669
:1,5669
Now, list down the factors of 5932
:1,2,4,1483,2966,5932
Greatest Common Factor
We found the factors 5669,5932 . The biggest common factor number is the GCF number.
So the greatest common factor 5669,5932 is 1.
Lets's calculate LCM of 425,5140
| 5 | 425, 5140 |
| 85, 1028 |
∴ So the LCM of the given numbers is 5 x 85 x 1028 = 436900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/436900
Therefore, the GCF of Fractions 5669/425,5932/5140 is 1/436900
Least Common Multiple of 425,5140 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 425,5140 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(425,5140) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(425,5140) x common factors =5 x 1 = 5
LCM(425,5140) = ( 425 × 5140 ) / 5
LCM(425,5140) = 2184500 / 5
LCM(425,5140) = 436900
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FAQs on GCF of Fractions of 5669/425, 5932/5140
1. What is the HCF of 5669,5932?
The HCF of 5669,5932 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 5669/425, 5932/5140?
Answer: GCF of Numerators as per given numbers 5669/425, 5932/5140 is
GCF of Numerators i.e. for 5669,5932 is 1
LCM of denominators i.e. for 425,5140 is 436900.
Thus, GCF of Fractions is 1/436900.Finally, GCF of Fractions for 5669/425, 5932/5140 is 1/436900.