GCF of 668/236, 224/607
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 668/236, 224/607 i.e 4/143252 easily. The following is the detailed procedure to determine the greatest common factor of fractions 668/236, 224/607.
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 668/236,224/607?
Given fractions are 668/236,224/607
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 668/236,224/607, numerators are 668,224
Denominators are 236,607
The GCF of 668,224 is 4 .
LCM of 236,607 is 143252.
The greatest common factor of 668/236,224/607 = [GCF of 668,224]/[LCM of 236,607]= 4/143252
Therefore, the GCF of 668/236,224/607 is 4/143252.
To find the highest common factor of 668,224, we have to find the factors of both numbers and list the highest common factor.
The factors of 668 are 1, 2, 4, 167, 334, 668
The factors of 224 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
The HCF of 668,224 is 4.
Lets's calculate GCF of 668,224
| 2 | 668, 224 |
| 2 | 334, 112 |
| 167, 56 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 668,224 By Matching Biggest Common Factor Method
Now, list down the factors of 668
:1,2,4,167,334,668
Now, list down the factors of 224
:1,2,4,7,8,14,16,28,32,56,112,224
Greatest Common Factor
We found the factors 668,224 . The biggest common factor number is the GCF number.
So the greatest common factor 668,224 is 4.
Lets's calculate LCM of 236,607
Given numbers has no common factors except 1. So, there LCM is their product i.e 143252
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/143252
Therefore, the GCF of Fractions 668/236,224/607 is 4/143252
Least Common Multiple of 236,607 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 236,607 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(236,607) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(236,607) x common factors =1 x 1 = 1
LCM(236,607) = ( 236 × 607 ) / 1
LCM(236,607) = 143252 / 1
LCM(236,607) = 143252
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FAQs on GCF of Fractions of 668/236, 224/607
1. What is the HCF of 668,224?
The HCF of 668,224 is 4
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 668/236, 224/607?
Answer: GCF of Numerators as per given numbers 668/236, 224/607 is
GCF of Numerators i.e. for 668,224 is 4
LCM of denominators i.e. for 236,607 is 143252.
Thus, GCF of Fractions is 4/143252.Finally, GCF of Fractions for 668/236, 224/607 is 4/143252.