GCF of 5260/776, 5360/5312
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5260/776, 5360/5312 i.e 20/515264 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5260/776, 5360/5312.
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 5260/776,5360/5312?
Given fractions are 5260/776,5360/5312
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 5260/776,5360/5312, numerators are 5260,5360
Denominators are 776,5312
The GCF of 5260,5360 is 20 .
LCM of 776,5312 is 515264.
The greatest common factor of 5260/776,5360/5312 = [GCF of 5260,5360]/[LCM of 776,5312]= 20/515264
Therefore, the GCF of 5260/776,5360/5312 is 20/515264.
To find the highest common factor of 5260,5360, we have to find the factors of both numbers and list the highest common factor.
The factors of 5260 are 1, 2, 4, 5, 10, 20, 263, 526, 1052, 1315, 2630, 5260
The factors of 5360 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 67, 80, 134, 268, 335, 536, 670, 1072, 1340, 2680, 5360
The HCF of 5260,5360 is 20.
Lets's calculate GCF of 5260,5360
| 2 | 5260, 5360 |
| 2 | 2630, 2680 |
| 5 | 1315, 1340 |
| 263, 268 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Greatest Common Factor of 5260,5360 By Matching Biggest Common Factor Method
Now, list down the factors of 5260
:1,2,4,5,10,20,263,526,1052,1315,2630,5260
Now, list down the factors of 5360
:1,2,4,5,8,10,16,20,40,67,80,134,268,335,536,670,1072,1340,2680,5360
Greatest Common Factor
We found the factors 5260,5360 . The biggest common factor number is the GCF number.
So the greatest common factor 5260,5360 is 20.
Lets's calculate LCM of 776,5312
| 2 | 776, 5312 |
| 2 | 388, 2656 |
| 2 | 194, 1328 |
| 97, 664 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 97 x 664 = 515264
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/515264
Therefore, the GCF of Fractions 5260/776,5360/5312 is 20/515264
Least Common Multiple of 776,5312 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 776,5312 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(776,5312) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(776,5312) x common factors =8 x 1 = 8
LCM(776,5312) = ( 776 × 5312 ) / 8
LCM(776,5312) = 4122112 / 8
LCM(776,5312) = 515264
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FAQs on GCF of Fractions of 5260/776, 5360/5312
1. What is the HCF of 5260,5360?
The HCF of 5260,5360 is 20
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 5260/776, 5360/5312?
Answer: GCF of Numerators as per given numbers 5260/776, 5360/5312 is
GCF of Numerators i.e. for 5260,5360 is 20
LCM of denominators i.e. for 776,5312 is 515264.
Thus, GCF of Fractions is 20/515264.Finally, GCF of Fractions for 5260/776, 5360/5312 is 20/515264.