GCF of 8234/535, 8960/7305
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8234/535, 8960/7305 i.e 2/781635 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8234/535, 8960/7305.
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 8234/535,8960/7305?
Given fractions are 8234/535,8960/7305
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 8234/535,8960/7305, numerators are 8234,8960
Denominators are 535,7305
The GCF of 8234,8960 is 2 .
LCM of 535,7305 is 781635.
The greatest common factor of 8234/535,8960/7305 = [GCF of 8234,8960]/[LCM of 535,7305]= 2/781635
Therefore, the GCF of 8234/535,8960/7305 is 2/781635.
To find the highest common factor of 8234,8960, we have to find the factors of both numbers and list the highest common factor.
The factors of 8234 are 1, 2, 23, 46, 179, 358, 4117, 8234
The factors of 8960 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64, 70, 80, 112, 128, 140, 160, 224, 256, 280, 320, 448, 560, 640, 896, 1120, 1280, 1792, 2240, 4480, 8960
The HCF of 8234,8960 is 2.
Lets's calculate GCF of 8234,8960
| 2 | 8234, 8960 |
| 4117, 4480 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8234,8960 By Matching Biggest Common Factor Method
Now, list down the factors of 8234
:1,2,23,46,179,358,4117,8234
Now, list down the factors of 8960
:1,2,4,5,7,8,10,14,16,20,28,32,35,40,56,64,70,80,112,128,140,160,224,256,280,320,448,560,640,896,1120,1280,1792,2240,4480,8960
Greatest Common Factor
We found the factors 8234,8960 . The biggest common factor number is the GCF number.
So the greatest common factor 8234,8960 is 2.
Lets's calculate LCM of 535,7305
| 5 | 535, 7305 |
| 107, 1461 |
∴ So the LCM of the given numbers is 5 x 107 x 1461 = 781635
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/781635
Therefore, the GCF of Fractions 8234/535,8960/7305 is 2/781635
Least Common Multiple of 535,7305 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 535,7305 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(535,7305) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(535,7305) x common factors =5 x 1 = 5
LCM(535,7305) = ( 535 × 7305 ) / 5
LCM(535,7305) = 3908175 / 5
LCM(535,7305) = 781635
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FAQs on GCF of Fractions of 8234/535, 8960/7305
1. What is the HCF of 8234,8960?
The HCF of 8234,8960 is 2
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 8234/535, 8960/7305?
Answer: GCF of Numerators as per given numbers 8234/535, 8960/7305 is
GCF of Numerators i.e. for 8234,8960 is 2
LCM of denominators i.e. for 535,7305 is 781635.
Thus, GCF of Fractions is 2/781635.Finally, GCF of Fractions for 8234/535, 8960/7305 is 2/781635.