GCF of 3209/136, 4607/8750
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3209/136, 4607/8750 i.e 1/595000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3209/136, 4607/8750.
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 3209/136,4607/8750?
Given fractions are 3209/136,4607/8750
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 3209/136,4607/8750, numerators are 3209,4607
Denominators are 136,8750
The GCF of 3209,4607 is 1 .
LCM of 136,8750 is 595000.
The greatest common factor of 3209/136,4607/8750 = [GCF of 3209,4607]/[LCM of 136,8750]= 1/595000
Therefore, the GCF of 3209/136,4607/8750 is 1/595000.
To find the highest common factor of 3209,4607, we have to find the factors of both numbers and list the highest common factor.
The factors of 3209 are 1, 3209
The factors of 4607 are 1, 17, 271, 4607
The HCF of 3209,4607 is 1.
Lets's calculate GCF of 3209,4607
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3209,4607 By Matching Biggest Common Factor Method
Now, list down the factors of 3209
:1,3209
Now, list down the factors of 4607
:1,17,271,4607
Greatest Common Factor
We found the factors 3209,4607 . The biggest common factor number is the GCF number.
So the greatest common factor 3209,4607 is 1.
Lets's calculate LCM of 136,8750
| 2 | 136, 8750 |
| 68, 4375 |
∴ So the LCM of the given numbers is 2 x 68 x 4375 = 595000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/595000
Therefore, the GCF of Fractions 3209/136,4607/8750 is 1/595000
Least Common Multiple of 136,8750 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 136,8750 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(136,8750) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(136,8750) x common factors =2 x 1 = 2
LCM(136,8750) = ( 136 × 8750 ) / 2
LCM(136,8750) = 1190000 / 2
LCM(136,8750) = 595000
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FAQs on GCF of Fractions of 3209/136, 4607/8750
1. What is the HCF of 3209,4607?
The HCF of 3209,4607 is 1
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 3209/136, 4607/8750?
Answer: GCF of Numerators as per given numbers 3209/136, 4607/8750 is
GCF of Numerators i.e. for 3209,4607 is 1
LCM of denominators i.e. for 136,8750 is 595000.
Thus, GCF of Fractions is 1/595000.Finally, GCF of Fractions for 3209/136, 4607/8750 is 1/595000.