GCF of 4732/513, 2562/222
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4732/513, 2562/222 i.e 14/37962 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4732/513, 2562/222.
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 4732/513,2562/222?
Given fractions are 4732/513,2562/222
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 4732/513,2562/222, numerators are 4732,2562
Denominators are 513,222
The GCF of 4732,2562 is 14 .
LCM of 513,222 is 37962.
The greatest common factor of 4732/513,2562/222 = [GCF of 4732,2562]/[LCM of 513,222]= 14/37962
Therefore, the GCF of 4732/513,2562/222 is 14/37962.
To find the highest common factor of 4732,2562, we have to find the factors of both numbers and list the highest common factor.
The factors of 4732 are 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 169, 182, 338, 364, 676, 1183, 2366, 4732
The factors of 2562 are 1, 2, 3, 6, 7, 14, 21, 42, 61, 122, 183, 366, 427, 854, 1281, 2562
The HCF of 4732,2562 is 14.
Lets's calculate GCF of 4732,2562
| 2 | 4732, 2562 |
| 7 | 2366, 1281 |
| 338, 183 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 4732,2562 By Matching Biggest Common Factor Method
Now, list down the factors of 4732
:1,2,4,7,13,14,26,28,52,91,169,182,338,364,676,1183,2366,4732
Now, list down the factors of 2562
:1,2,3,6,7,14,21,42,61,122,183,366,427,854,1281,2562
Greatest Common Factor
We found the factors 4732,2562 . The biggest common factor number is the GCF number.
So the greatest common factor 4732,2562 is 14.
Lets's calculate LCM of 513,222
| 3 | 513, 222 |
| 171, 74 |
∴ So the LCM of the given numbers is 3 x 171 x 74 = 37962
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/37962
Therefore, the GCF of Fractions 4732/513,2562/222 is 14/37962
Least Common Multiple of 513,222 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 513,222 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(513,222) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(513,222) x common factors =3 x 1 = 3
LCM(513,222) = ( 513 × 222 ) / 3
LCM(513,222) = 113886 / 3
LCM(513,222) = 37962
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FAQs on GCF of Fractions of 4732/513, 2562/222
1. What is the HCF of 4732,2562?
The HCF of 4732,2562 is 14
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 4732/513, 2562/222?
Answer: GCF of Numerators as per given numbers 4732/513, 2562/222 is
GCF of Numerators i.e. for 4732,2562 is 14
LCM of denominators i.e. for 513,222 is 37962.
Thus, GCF of Fractions is 14/37962.Finally, GCF of Fractions for 4732/513, 2562/222 is 14/37962.