GCF of 9776/112, 5687/565
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9776/112, 5687/565 i.e 47/63280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9776/112, 5687/565.
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 9776/112,5687/565?
Given fractions are 9776/112,5687/565
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 9776/112,5687/565, numerators are 9776,5687
Denominators are 112,565
The GCF of 9776,5687 is 47 .
LCM of 112,565 is 63280.
The greatest common factor of 9776/112,5687/565 = [GCF of 9776,5687]/[LCM of 112,565]= 47/63280
Therefore, the GCF of 9776/112,5687/565 is 47/63280.
To find the highest common factor of 9776,5687, we have to find the factors of both numbers and list the highest common factor.
The factors of 9776 are 1, 2, 4, 8, 13, 16, 26, 47, 52, 94, 104, 188, 208, 376, 611, 752, 1222, 2444, 4888, 9776
The factors of 5687 are 1, 11, 47, 121, 517, 5687
The HCF of 9776,5687 is 47.
Lets's calculate GCF of 9776,5687
| 47 | 9776, 5687 |
| 208, 121 |
∴ So the GCF of the given numbers is 47 = 47
Greatest Common Factor of 9776,5687 By Matching Biggest Common Factor Method
Now, list down the factors of 9776
:1,2,4,8,13,16,26,47,52,94,104,188,208,376,611,752,1222,2444,4888,9776
Now, list down the factors of 5687
:1,11,47,121,517,5687
Greatest Common Factor
We found the factors 9776,5687 . The biggest common factor number is the GCF number.
So the greatest common factor 9776,5687 is 47.
Lets's calculate LCM of 112,565
Given numbers has no common factors except 1. So, there LCM is their product i.e 63280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 47/63280
Therefore, the GCF of Fractions 9776/112,5687/565 is 47/63280
Least Common Multiple of 112,565 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 112,565 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(112,565) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(112,565) x common factors =1 x 1 = 1
LCM(112,565) = ( 112 × 565 ) / 1
LCM(112,565) = 63280 / 1
LCM(112,565) = 63280
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FAQs on GCF of Fractions of 9776/112, 5687/565
1. What is the HCF of 9776,5687?
The HCF of 9776,5687 is 47
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 9776/112, 5687/565?
Answer: GCF of Numerators as per given numbers 9776/112, 5687/565 is
GCF of Numerators i.e. for 9776,5687 is 47
LCM of denominators i.e. for 112,565 is 63280.
Thus, GCF of Fractions is 47/63280.Finally, GCF of Fractions for 9776/112, 5687/565 is 47/63280.