GCF of 1202/462, 4424/7434
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1202/462, 4424/7434 i.e 2/81774 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1202/462, 4424/7434.
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 1202/462,4424/7434?
Given fractions are 1202/462,4424/7434
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 1202/462,4424/7434, numerators are 1202,4424
Denominators are 462,7434
The GCF of 1202,4424 is 2 .
LCM of 462,7434 is 81774.
The greatest common factor of 1202/462,4424/7434 = [GCF of 1202,4424]/[LCM of 462,7434]= 2/81774
Therefore, the GCF of 1202/462,4424/7434 is 2/81774.
To find the highest common factor of 1202,4424, we have to find the factors of both numbers and list the highest common factor.
The factors of 1202 are 1, 2, 601, 1202
The factors of 4424 are 1, 2, 4, 7, 8, 14, 28, 56, 79, 158, 316, 553, 632, 1106, 2212, 4424
The HCF of 1202,4424 is 2.
Lets's calculate GCF of 1202,4424
| 2 | 1202, 4424 |
| 601, 2212 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1202,4424 By Matching Biggest Common Factor Method
Now, list down the factors of 1202
:1,2,601,1202
Now, list down the factors of 4424
:1,2,4,7,8,14,28,56,79,158,316,553,632,1106,2212,4424
Greatest Common Factor
We found the factors 1202,4424 . The biggest common factor number is the GCF number.
So the greatest common factor 1202,4424 is 2.
Lets's calculate LCM of 462,7434
| 2 | 462, 7434 |
| 3 | 231, 3717 |
| 7 | 77, 1239 |
| 11, 177 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 11 x 177 = 81774
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/81774
Therefore, the GCF of Fractions 1202/462,4424/7434 is 2/81774
Least Common Multiple of 462,7434 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 462,7434 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(462,7434) = 42
common factors(in case of two or more numbers have common factors) = 1
GCF(462,7434) x common factors =42 x 1 = 42
LCM(462,7434) = ( 462 × 7434 ) / 42
LCM(462,7434) = 3434508 / 42
LCM(462,7434) = 81774
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FAQs on GCF of Fractions of 1202/462, 4424/7434
1. What is the HCF of 1202,4424?
The HCF of 1202,4424 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 1202/462, 4424/7434?
Answer: GCF of Numerators as per given numbers 1202/462, 4424/7434 is
GCF of Numerators i.e. for 1202,4424 is 2
LCM of denominators i.e. for 462,7434 is 81774.
Thus, GCF of Fractions is 2/81774.Finally, GCF of Fractions for 1202/462, 4424/7434 is 2/81774.