GCF of 4356/507, 5214/667
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4356/507, 5214/667 i.e 66/338169 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4356/507, 5214/667.
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 4356/507,5214/667?
Given fractions are 4356/507,5214/667
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 4356/507,5214/667, numerators are 4356,5214
Denominators are 507,667
The GCF of 4356,5214 is 66 .
LCM of 507,667 is 338169.
The greatest common factor of 4356/507,5214/667 = [GCF of 4356,5214]/[LCM of 507,667]= 66/338169
Therefore, the GCF of 4356/507,5214/667 is 66/338169.
To find the highest common factor of 4356,5214, we have to find the factors of both numbers and list the highest common factor.
The factors of 4356 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 121, 132, 198, 242, 363, 396, 484, 726, 1089, 1452, 2178, 4356
The factors of 5214 are 1, 2, 3, 6, 11, 22, 33, 66, 79, 158, 237, 474, 869, 1738, 2607, 5214
The HCF of 4356,5214 is 66.
Lets's calculate GCF of 4356,5214
| 2 | 4356, 5214 |
| 3 | 2178, 2607 |
| 11 | 726, 869 |
| 66, 79 |
∴ So the GCF of the given numbers is 2 x 3 x 11 = 66
Greatest Common Factor of 4356,5214 By Matching Biggest Common Factor Method
Now, list down the factors of 4356
:1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,121,132,198,242,363,396,484,726,1089,1452,2178,4356
Now, list down the factors of 5214
:1,2,3,6,11,22,33,66,79,158,237,474,869,1738,2607,5214
Greatest Common Factor
We found the factors 4356,5214 . The biggest common factor number is the GCF number.
So the greatest common factor 4356,5214 is 66.
Lets's calculate LCM of 507,667
Given numbers has no common factors except 1. So, there LCM is their product i.e 338169
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 66/338169
Therefore, the GCF of Fractions 4356/507,5214/667 is 66/338169
Least Common Multiple of 507,667 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 507,667 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(507,667) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(507,667) x common factors =1 x 1 = 1
LCM(507,667) = ( 507 × 667 ) / 1
LCM(507,667) = 338169 / 1
LCM(507,667) = 338169
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FAQs on GCF of Fractions of 4356/507, 5214/667
1. What is the HCF of 4356,5214?
The HCF of 4356,5214 is 66
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 4356/507, 5214/667?
Answer: GCF of Numerators as per given numbers 4356/507, 5214/667 is
GCF of Numerators i.e. for 4356,5214 is 66
LCM of denominators i.e. for 507,667 is 338169.
Thus, GCF of Fractions is 66/338169.Finally, GCF of Fractions for 4356/507, 5214/667 is 66/338169.