GCF of 4538/896, 2076/742
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4538/896, 2076/742 i.e 2/47488 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4538/896, 2076/742.
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 4538/896,2076/742?
Given fractions are 4538/896,2076/742
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 4538/896,2076/742, numerators are 4538,2076
Denominators are 896,742
The GCF of 4538,2076 is 2 .
LCM of 896,742 is 47488.
The greatest common factor of 4538/896,2076/742 = [GCF of 4538,2076]/[LCM of 896,742]= 2/47488
Therefore, the GCF of 4538/896,2076/742 is 2/47488.
To find the highest common factor of 4538,2076, we have to find the factors of both numbers and list the highest common factor.
The factors of 4538 are 1, 2, 2269, 4538
The factors of 2076 are 1, 2, 3, 4, 6, 12, 173, 346, 519, 692, 1038, 2076
The HCF of 4538,2076 is 2.
Lets's calculate GCF of 4538,2076
| 2 | 4538, 2076 |
| 2269, 1038 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4538,2076 By Matching Biggest Common Factor Method
Now, list down the factors of 4538
:1,2,2269,4538
Now, list down the factors of 2076
:1,2,3,4,6,12,173,346,519,692,1038,2076
Greatest Common Factor
We found the factors 4538,2076 . The biggest common factor number is the GCF number.
So the greatest common factor 4538,2076 is 2.
Lets's calculate LCM of 896,742
| 2 | 896, 742 |
| 7 | 448, 371 |
| 64, 53 |
∴ So the LCM of the given numbers is 2 x 7 x 64 x 53 = 47488
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/47488
Therefore, the GCF of Fractions 4538/896,2076/742 is 2/47488
Least Common Multiple of 896,742 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 896,742 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(896,742) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(896,742) x common factors =14 x 1 = 14
LCM(896,742) = ( 896 × 742 ) / 14
LCM(896,742) = 664832 / 14
LCM(896,742) = 47488
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FAQs on GCF of Fractions of 4538/896, 2076/742
1. What is the HCF of 4538,2076?
The HCF of 4538,2076 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 4538/896, 2076/742?
Answer: GCF of Numerators as per given numbers 4538/896, 2076/742 is
GCF of Numerators i.e. for 4538,2076 is 2
LCM of denominators i.e. for 896,742 is 47488.
Thus, GCF of Fractions is 2/47488.Finally, GCF of Fractions for 4538/896, 2076/742 is 2/47488.