GCF of 1772/294, 5762/2021
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1772/294, 5762/2021 i.e 2/594174 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1772/294, 5762/2021.
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 1772/294,5762/2021?
Given fractions are 1772/294,5762/2021
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 1772/294,5762/2021, numerators are 1772,5762
Denominators are 294,2021
The GCF of 1772,5762 is 2 .
LCM of 294,2021 is 594174.
The greatest common factor of 1772/294,5762/2021 = [GCF of 1772,5762]/[LCM of 294,2021]= 2/594174
Therefore, the GCF of 1772/294,5762/2021 is 2/594174.
To find the highest common factor of 1772,5762, we have to find the factors of both numbers and list the highest common factor.
The factors of 1772 are 1, 2, 4, 443, 886, 1772
The factors of 5762 are 1, 2, 43, 67, 86, 134, 2881, 5762
The HCF of 1772,5762 is 2.
Lets's calculate GCF of 1772,5762
| 2 | 1772, 5762 |
| 886, 2881 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1772,5762 By Matching Biggest Common Factor Method
Now, list down the factors of 1772
:1,2,4,443,886,1772
Now, list down the factors of 5762
:1,2,43,67,86,134,2881,5762
Greatest Common Factor
We found the factors 1772,5762 . The biggest common factor number is the GCF number.
So the greatest common factor 1772,5762 is 2.
Lets's calculate LCM of 294,2021
Given numbers has no common factors except 1. So, there LCM is their product i.e 594174
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/594174
Therefore, the GCF of Fractions 1772/294,5762/2021 is 2/594174
Least Common Multiple of 294,2021 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 294,2021 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(294,2021) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(294,2021) x common factors =1 x 1 = 1
LCM(294,2021) = ( 294 × 2021 ) / 1
LCM(294,2021) = 594174 / 1
LCM(294,2021) = 594174
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FAQs on GCF of Fractions of 1772/294, 5762/2021
1. What is the HCF of 1772,5762?
The HCF of 1772,5762 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 1772/294, 5762/2021?
Answer: GCF of Numerators as per given numbers 1772/294, 5762/2021 is
GCF of Numerators i.e. for 1772,5762 is 2
LCM of denominators i.e. for 294,2021 is 594174.
Thus, GCF of Fractions is 2/594174.Finally, GCF of Fractions for 1772/294, 5762/2021 is 2/594174.