GCF of 9652/106, 8380/274
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9652/106, 8380/274 i.e 4/14522 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9652/106, 8380/274.
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 9652/106,8380/274?
Given fractions are 9652/106,8380/274
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 9652/106,8380/274, numerators are 9652,8380
Denominators are 106,274
The GCF of 9652,8380 is 4 .
LCM of 106,274 is 14522.
The greatest common factor of 9652/106,8380/274 = [GCF of 9652,8380]/[LCM of 106,274]= 4/14522
Therefore, the GCF of 9652/106,8380/274 is 4/14522.
To find the highest common factor of 9652,8380, we have to find the factors of both numbers and list the highest common factor.
The factors of 9652 are 1, 2, 4, 19, 38, 76, 127, 254, 508, 2413, 4826, 9652
The factors of 8380 are 1, 2, 4, 5, 10, 20, 419, 838, 1676, 2095, 4190, 8380
The HCF of 9652,8380 is 4.
Lets's calculate GCF of 9652,8380
| 2 | 9652, 8380 |
| 2 | 4826, 4190 |
| 2413, 2095 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 9652,8380 By Matching Biggest Common Factor Method
Now, list down the factors of 9652
:1,2,4,19,38,76,127,254,508,2413,4826,9652
Now, list down the factors of 8380
:1,2,4,5,10,20,419,838,1676,2095,4190,8380
Greatest Common Factor
We found the factors 9652,8380 . The biggest common factor number is the GCF number.
So the greatest common factor 9652,8380 is 4.
Lets's calculate LCM of 106,274
| 2 | 106, 274 |
| 53, 137 |
∴ So the LCM of the given numbers is 2 x 53 x 137 = 14522
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/14522
Therefore, the GCF of Fractions 9652/106,8380/274 is 4/14522
Least Common Multiple of 106,274 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 106,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(106,274) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(106,274) x common factors =2 x 1 = 2
LCM(106,274) = ( 106 × 274 ) / 2
LCM(106,274) = 29044 / 2
LCM(106,274) = 14522
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FAQs on GCF of Fractions of 9652/106, 8380/274
1. What is the HCF of 9652,8380?
The HCF of 9652,8380 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 9652/106, 8380/274?
Answer: GCF of Numerators as per given numbers 9652/106, 8380/274 is
GCF of Numerators i.e. for 9652,8380 is 4
LCM of denominators i.e. for 106,274 is 14522.
Thus, GCF of Fractions is 4/14522.Finally, GCF of Fractions for 9652/106, 8380/274 is 4/14522.