GCF of 5088/791, 7168/7759
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5088/791, 7168/7759 i.e 32/6137369 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5088/791, 7168/7759.
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 5088/791,7168/7759?
Given fractions are 5088/791,7168/7759
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 5088/791,7168/7759, numerators are 5088,7168
Denominators are 791,7759
The GCF of 5088,7168 is 32 .
LCM of 791,7759 is 6137369.
The greatest common factor of 5088/791,7168/7759 = [GCF of 5088,7168]/[LCM of 791,7759]= 32/6137369
Therefore, the GCF of 5088/791,7168/7759 is 32/6137369.
To find the highest common factor of 5088,7168, we have to find the factors of both numbers and list the highest common factor.
The factors of 5088 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 53, 96, 106, 159, 212, 318, 424, 636, 848, 1272, 1696, 2544, 5088
The factors of 7168 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 256, 448, 512, 896, 1024, 1792, 3584, 7168
The HCF of 5088,7168 is 32.
Lets's calculate GCF of 5088,7168
| 2 | 5088, 7168 |
| 2 | 2544, 3584 |
| 2 | 1272, 1792 |
| 2 | 636, 896 |
| 2 | 318, 448 |
| 159, 224 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32
Greatest Common Factor of 5088,7168 By Matching Biggest Common Factor Method
Now, list down the factors of 5088
:1,2,3,4,6,8,12,16,24,32,48,53,96,106,159,212,318,424,636,848,1272,1696,2544,5088
Now, list down the factors of 7168
:1,2,4,7,8,14,16,28,32,56,64,112,128,224,256,448,512,896,1024,1792,3584,7168
Greatest Common Factor
We found the factors 5088,7168 . The biggest common factor number is the GCF number.
So the greatest common factor 5088,7168 is 32.
Lets's calculate LCM of 791,7759
Given numbers has no common factors except 1. So, there LCM is their product i.e 6137369
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 32/6137369
Therefore, the GCF of Fractions 5088/791,7168/7759 is 32/6137369
Least Common Multiple of 791,7759 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 791,7759 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(791,7759) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(791,7759) x common factors =1 x 1 = 1
LCM(791,7759) = ( 791 × 7759 ) / 1
LCM(791,7759) = 6137369 / 1
LCM(791,7759) = 6137369
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FAQs on GCF of Fractions of 5088/791, 7168/7759
1. What is the HCF of 5088,7168?
The HCF of 5088,7168 is 32
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 5088/791, 7168/7759?
Answer: GCF of Numerators as per given numbers 5088/791, 7168/7759 is
GCF of Numerators i.e. for 5088,7168 is 32
LCM of denominators i.e. for 791,7759 is 6137369.
Thus, GCF of Fractions is 32/6137369.Finally, GCF of Fractions for 5088/791, 7168/7759 is 32/6137369.