GCF of 4202/980, 1438/2912
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4202/980, 1438/2912 i.e 2/101920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4202/980, 1438/2912.
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 4202/980,1438/2912?
Given fractions are 4202/980,1438/2912
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 4202/980,1438/2912, numerators are 4202,1438
Denominators are 980,2912
The GCF of 4202,1438 is 2 .
LCM of 980,2912 is 101920.
The greatest common factor of 4202/980,1438/2912 = [GCF of 4202,1438]/[LCM of 980,2912]= 2/101920
Therefore, the GCF of 4202/980,1438/2912 is 2/101920.
To find the highest common factor of 4202,1438, we have to find the factors of both numbers and list the highest common factor.
The factors of 4202 are 1, 2, 11, 22, 191, 382, 2101, 4202
The factors of 1438 are 1, 2, 719, 1438
The HCF of 4202,1438 is 2.
Lets's calculate GCF of 4202,1438
| 2 | 4202, 1438 |
| 2101, 719 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4202,1438 By Matching Biggest Common Factor Method
Now, list down the factors of 4202
:1,2,11,22,191,382,2101,4202
Now, list down the factors of 1438
:1,2,719,1438
Greatest Common Factor
We found the factors 4202,1438 . The biggest common factor number is the GCF number.
So the greatest common factor 4202,1438 is 2.
Lets's calculate LCM of 980,2912
| 2 | 980, 2912 |
| 2 | 490, 1456 |
| 7 | 245, 728 |
| 35, 104 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 35 x 104 = 101920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/101920
Therefore, the GCF of Fractions 4202/980,1438/2912 is 2/101920
Least Common Multiple of 980,2912 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 980,2912 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(980,2912) = 28
common factors(in case of two or more numbers have common factors) = 1
GCF(980,2912) x common factors =28 x 1 = 28
LCM(980,2912) = ( 980 × 2912 ) / 28
LCM(980,2912) = 2853760 / 28
LCM(980,2912) = 101920
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FAQs on GCF of Fractions of 4202/980, 1438/2912
1. What is the HCF of 4202,1438?
The HCF of 4202,1438 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 4202/980, 1438/2912?
Answer: GCF of Numerators as per given numbers 4202/980, 1438/2912 is
GCF of Numerators i.e. for 4202,1438 is 2
LCM of denominators i.e. for 980,2912 is 101920.
Thus, GCF of Fractions is 2/101920.Finally, GCF of Fractions for 4202/980, 1438/2912 is 2/101920.