GCF of 8520/52, 7680/907
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8520/52, 7680/907 i.e 120/47164 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8520/52, 7680/907.
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 8520/52,7680/907?
Given fractions are 8520/52,7680/907
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 8520/52,7680/907, numerators are 8520,7680
Denominators are 52,907
The GCF of 8520,7680 is 120 .
LCM of 52,907 is 47164.
The greatest common factor of 8520/52,7680/907 = [GCF of 8520,7680]/[LCM of 52,907]= 120/47164
Therefore, the GCF of 8520/52,7680/907 is 120/47164.
To find the highest common factor of 8520,7680, we have to find the factors of both numbers and list the highest common factor.
The factors of 8520 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 71, 120, 142, 213, 284, 355, 426, 568, 710, 852, 1065, 1420, 1704, 2130, 2840, 4260, 8520
The factors of 7680 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 128, 160, 192, 240, 256, 320, 384, 480, 512, 640, 768, 960, 1280, 1536, 1920, 2560, 3840, 7680
The HCF of 8520,7680 is 120.
Lets's calculate GCF of 8520,7680
| 2 | 8520, 7680 |
| 2 | 4260, 3840 |
| 2 | 2130, 1920 |
| 3 | 1065, 960 |
| 5 | 355, 320 |
| 71, 64 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 x 5 = 120
Greatest Common Factor of 8520,7680 By Matching Biggest Common Factor Method
Now, list down the factors of 8520
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,71,120,142,213,284,355,426,568,710,852,1065,1420,1704,2130,2840,4260,8520
Now, list down the factors of 7680
:1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,128,160,192,240,256,320,384,480,512,640,768,960,1280,1536,1920,2560,3840,7680
Greatest Common Factor
We found the factors 8520,7680 . The biggest common factor number is the GCF number.
So the greatest common factor 8520,7680 is 120.
Lets's calculate LCM of 52,907
Given numbers has no common factors except 1. So, there LCM is their product i.e 47164
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 120/47164
Therefore, the GCF of Fractions 8520/52,7680/907 is 120/47164
Least Common Multiple of 52,907 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 52,907 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,907) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(52,907) x common factors =1 x 1 = 1
LCM(52,907) = ( 52 × 907 ) / 1
LCM(52,907) = 47164 / 1
LCM(52,907) = 47164
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FAQs on GCF of Fractions of 8520/52, 7680/907
1. What is the HCF of 8520,7680?
The HCF of 8520,7680 is 120
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 8520/52, 7680/907?
Answer: GCF of Numerators as per given numbers 8520/52, 7680/907 is
GCF of Numerators i.e. for 8520,7680 is 120
LCM of denominators i.e. for 52,907 is 47164.
Thus, GCF of Fractions is 120/47164.Finally, GCF of Fractions for 8520/52, 7680/907 is 120/47164.