GCF of 5438/116, 7692/2572
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5438/116, 7692/2572 i.e 2/74588 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5438/116, 7692/2572.
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 5438/116,7692/2572?
Given fractions are 5438/116,7692/2572
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 5438/116,7692/2572, numerators are 5438,7692
Denominators are 116,2572
The GCF of 5438,7692 is 2 .
LCM of 116,2572 is 74588.
The greatest common factor of 5438/116,7692/2572 = [GCF of 5438,7692]/[LCM of 116,2572]= 2/74588
Therefore, the GCF of 5438/116,7692/2572 is 2/74588.
To find the highest common factor of 5438,7692, we have to find the factors of both numbers and list the highest common factor.
The factors of 5438 are 1, 2, 2719, 5438
The factors of 7692 are 1, 2, 3, 4, 6, 12, 641, 1282, 1923, 2564, 3846, 7692
The HCF of 5438,7692 is 2.
Lets's calculate GCF of 5438,7692
| 2 | 5438, 7692 |
| 2719, 3846 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5438,7692 By Matching Biggest Common Factor Method
Now, list down the factors of 5438
:1,2,2719,5438
Now, list down the factors of 7692
:1,2,3,4,6,12,641,1282,1923,2564,3846,7692
Greatest Common Factor
We found the factors 5438,7692 . The biggest common factor number is the GCF number.
So the greatest common factor 5438,7692 is 2.
Lets's calculate LCM of 116,2572
| 2 | 116, 2572 |
| 2 | 58, 1286 |
| 29, 643 |
∴ So the LCM of the given numbers is 2 x 2 x 29 x 643 = 74588
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/74588
Therefore, the GCF of Fractions 5438/116,7692/2572 is 2/74588
Least Common Multiple of 116,2572 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 116,2572 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(116,2572) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(116,2572) x common factors =4 x 1 = 4
LCM(116,2572) = ( 116 × 2572 ) / 4
LCM(116,2572) = 298352 / 4
LCM(116,2572) = 74588
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FAQs on GCF of Fractions of 5438/116, 7692/2572
1. What is the HCF of 5438,7692?
The HCF of 5438,7692 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 5438/116, 7692/2572?
Answer: GCF of Numerators as per given numbers 5438/116, 7692/2572 is
GCF of Numerators i.e. for 5438,7692 is 2
LCM of denominators i.e. for 116,2572 is 74588.
Thus, GCF of Fractions is 2/74588.Finally, GCF of Fractions for 5438/116, 7692/2572 is 2/74588.