GCF of 4512/207, 5214/967
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4512/207, 5214/967 i.e 6/200169 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4512/207, 5214/967.
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 4512/207,5214/967?
Given fractions are 4512/207,5214/967
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 4512/207,5214/967, numerators are 4512,5214
Denominators are 207,967
The GCF of 4512,5214 is 6 .
LCM of 207,967 is 200169.
The greatest common factor of 4512/207,5214/967 = [GCF of 4512,5214]/[LCM of 207,967]= 6/200169
Therefore, the GCF of 4512/207,5214/967 is 6/200169.
To find the highest common factor of 4512,5214, we have to find the factors of both numbers and list the highest common factor.
The factors of 4512 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 47, 48, 94, 96, 141, 188, 282, 376, 564, 752, 1128, 1504, 2256, 4512
The factors of 5214 are 1, 2, 3, 6, 11, 22, 33, 66, 79, 158, 237, 474, 869, 1738, 2607, 5214
The HCF of 4512,5214 is 6.
Lets's calculate GCF of 4512,5214
| 2 | 4512, 5214 |
| 3 | 2256, 2607 |
| 752, 869 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 4512,5214 By Matching Biggest Common Factor Method
Now, list down the factors of 4512
:1,2,3,4,6,8,12,16,24,32,47,48,94,96,141,188,282,376,564,752,1128,1504,2256,4512
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 4512,5214 . The biggest common factor number is the GCF number.
So the greatest common factor 4512,5214 is 6.
Lets's calculate LCM of 207,967
Given numbers has no common factors except 1. So, there LCM is their product i.e 200169
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/200169
Therefore, the GCF of Fractions 4512/207,5214/967 is 6/200169
Least Common Multiple of 207,967 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 207,967 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(207,967) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(207,967) x common factors =1 x 1 = 1
LCM(207,967) = ( 207 × 967 ) / 1
LCM(207,967) = 200169 / 1
LCM(207,967) = 200169
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FAQs on GCF of Fractions of 4512/207, 5214/967
1. What is the HCF of 4512,5214?
The HCF of 4512,5214 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 4512/207, 5214/967?
Answer: GCF of Numerators as per given numbers 4512/207, 5214/967 is
GCF of Numerators i.e. for 4512,5214 is 6
LCM of denominators i.e. for 207,967 is 200169.
Thus, GCF of Fractions is 6/200169.Finally, GCF of Fractions for 4512/207, 5214/967 is 6/200169.