GCF of 4362/112, 5718/7102
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4362/112, 5718/7102 i.e 6/397712 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4362/112, 5718/7102.
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 4362/112,5718/7102?
Given fractions are 4362/112,5718/7102
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 4362/112,5718/7102, numerators are 4362,5718
Denominators are 112,7102
The GCF of 4362,5718 is 6 .
LCM of 112,7102 is 397712.
The greatest common factor of 4362/112,5718/7102 = [GCF of 4362,5718]/[LCM of 112,7102]= 6/397712
Therefore, the GCF of 4362/112,5718/7102 is 6/397712.
To find the highest common factor of 4362,5718, we have to find the factors of both numbers and list the highest common factor.
The factors of 4362 are 1, 2, 3, 6, 727, 1454, 2181, 4362
The factors of 5718 are 1, 2, 3, 6, 953, 1906, 2859, 5718
The HCF of 4362,5718 is 6.
Lets's calculate GCF of 4362,5718
| 2 | 4362, 5718 |
| 3 | 2181, 2859 |
| 727, 953 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 4362,5718 By Matching Biggest Common Factor Method
Now, list down the factors of 4362
:1,2,3,6,727,1454,2181,4362
Now, list down the factors of 5718
:1,2,3,6,953,1906,2859,5718
Greatest Common Factor
We found the factors 4362,5718 . The biggest common factor number is the GCF number.
So the greatest common factor 4362,5718 is 6.
Lets's calculate LCM of 112,7102
| 2 | 112, 7102 |
| 56, 3551 |
∴ So the LCM of the given numbers is 2 x 56 x 3551 = 397712
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/397712
Therefore, the GCF of Fractions 4362/112,5718/7102 is 6/397712
Least Common Multiple of 112,7102 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 112,7102 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(112,7102) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(112,7102) x common factors =2 x 1 = 2
LCM(112,7102) = ( 112 × 7102 ) / 2
LCM(112,7102) = 795424 / 2
LCM(112,7102) = 397712
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FAQs on GCF of Fractions of 4362/112, 5718/7102
1. What is the HCF of 4362,5718?
The HCF of 4362,5718 is 6
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 4362/112, 5718/7102?
Answer: GCF of Numerators as per given numbers 4362/112, 5718/7102 is
GCF of Numerators i.e. for 4362,5718 is 6
LCM of denominators i.e. for 112,7102 is 397712.
Thus, GCF of Fractions is 6/397712.Finally, GCF of Fractions for 4362/112, 5718/7102 is 6/397712.