GCF of 8608/238, 9700/7614
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8608/238, 9700/7614 i.e 4/906066 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8608/238, 9700/7614.
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 8608/238,9700/7614?
Given fractions are 8608/238,9700/7614
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 8608/238,9700/7614, numerators are 8608,9700
Denominators are 238,7614
The GCF of 8608,9700 is 4 .
LCM of 238,7614 is 906066.
The greatest common factor of 8608/238,9700/7614 = [GCF of 8608,9700]/[LCM of 238,7614]= 4/906066
Therefore, the GCF of 8608/238,9700/7614 is 4/906066.
To find the highest common factor of 8608,9700, we have to find the factors of both numbers and list the highest common factor.
The factors of 8608 are 1, 2, 4, 8, 16, 32, 269, 538, 1076, 2152, 4304, 8608
The factors of 9700 are 1, 2, 4, 5, 10, 20, 25, 50, 97, 100, 194, 388, 485, 970, 1940, 2425, 4850, 9700
The HCF of 8608,9700 is 4.
Lets's calculate GCF of 8608,9700
| 2 | 8608, 9700 |
| 2 | 4304, 4850 |
| 2152, 2425 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 8608,9700 By Matching Biggest Common Factor Method
Now, list down the factors of 8608
:1,2,4,8,16,32,269,538,1076,2152,4304,8608
Now, list down the factors of 9700
:1,2,4,5,10,20,25,50,97,100,194,388,485,970,1940,2425,4850,9700
Greatest Common Factor
We found the factors 8608,9700 . The biggest common factor number is the GCF number.
So the greatest common factor 8608,9700 is 4.
Lets's calculate LCM of 238,7614
| 2 | 238, 7614 |
| 119, 3807 |
∴ So the LCM of the given numbers is 2 x 119 x 3807 = 906066
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/906066
Therefore, the GCF of Fractions 8608/238,9700/7614 is 4/906066
Least Common Multiple of 238,7614 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 238,7614 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(238,7614) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(238,7614) x common factors =2 x 1 = 2
LCM(238,7614) = ( 238 × 7614 ) / 2
LCM(238,7614) = 1812132 / 2
LCM(238,7614) = 906066
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FAQs on GCF of Fractions of 8608/238, 9700/7614
1. What is the HCF of 8608,9700?
The HCF of 8608,9700 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 8608/238, 9700/7614?
Answer: GCF of Numerators as per given numbers 8608/238, 9700/7614 is
GCF of Numerators i.e. for 8608,9700 is 4
LCM of denominators i.e. for 238,7614 is 906066.
Thus, GCF of Fractions is 4/906066.Finally, GCF of Fractions for 8608/238, 9700/7614 is 4/906066.