GCF of 2692/732, 4778/2124
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2692/732, 4778/2124 i.e 2/129564 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2692/732, 4778/2124.
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 2692/732,4778/2124?
Given fractions are 2692/732,4778/2124
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 2692/732,4778/2124, numerators are 2692,4778
Denominators are 732,2124
The GCF of 2692,4778 is 2 .
LCM of 732,2124 is 129564.
The greatest common factor of 2692/732,4778/2124 = [GCF of 2692,4778]/[LCM of 732,2124]= 2/129564
Therefore, the GCF of 2692/732,4778/2124 is 2/129564.
To find the highest common factor of 2692,4778, we have to find the factors of both numbers and list the highest common factor.
The factors of 2692 are 1, 2, 4, 673, 1346, 2692
The factors of 4778 are 1, 2, 2389, 4778
The HCF of 2692,4778 is 2.
Lets's calculate GCF of 2692,4778
| 2 | 2692, 4778 |
| 1346, 2389 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2692,4778 By Matching Biggest Common Factor Method
Now, list down the factors of 2692
:1,2,4,673,1346,2692
Now, list down the factors of 4778
:1,2,2389,4778
Greatest Common Factor
We found the factors 2692,4778 . The biggest common factor number is the GCF number.
So the greatest common factor 2692,4778 is 2.
Lets's calculate LCM of 732,2124
| 2 | 732, 2124 |
| 2 | 366, 1062 |
| 3 | 183, 531 |
| 61, 177 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 61 x 177 = 129564
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/129564
Therefore, the GCF of Fractions 2692/732,4778/2124 is 2/129564
Least Common Multiple of 732,2124 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 732,2124 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(732,2124) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(732,2124) x common factors =12 x 1 = 12
LCM(732,2124) = ( 732 × 2124 ) / 12
LCM(732,2124) = 1554768 / 12
LCM(732,2124) = 129564
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FAQs on GCF of Fractions of 2692/732, 4778/2124
1. What is the HCF of 2692,4778?
The HCF of 2692,4778 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 2692/732, 4778/2124?
Answer: GCF of Numerators as per given numbers 2692/732, 4778/2124 is
GCF of Numerators i.e. for 2692,4778 is 2
LCM of denominators i.e. for 732,2124 is 129564.
Thus, GCF of Fractions is 2/129564.Finally, GCF of Fractions for 2692/732, 4778/2124 is 2/129564.