GCF of 5478/981, 7752/8834
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5478/981, 7752/8834 i.e 6/8666154 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5478/981, 7752/8834.
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 5478/981,7752/8834?
Given fractions are 5478/981,7752/8834
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 5478/981,7752/8834, numerators are 5478,7752
Denominators are 981,8834
The GCF of 5478,7752 is 6 .
LCM of 981,8834 is 8666154.
The greatest common factor of 5478/981,7752/8834 = [GCF of 5478,7752]/[LCM of 981,8834]= 6/8666154
Therefore, the GCF of 5478/981,7752/8834 is 6/8666154.
To find the highest common factor of 5478,7752, we have to find the factors of both numbers and list the highest common factor.
The factors of 5478 are 1, 2, 3, 6, 11, 22, 33, 66, 83, 166, 249, 498, 913, 1826, 2739, 5478
The factors of 7752 are 1, 2, 3, 4, 6, 8, 12, 17, 19, 24, 34, 38, 51, 57, 68, 76, 102, 114, 136, 152, 204, 228, 323, 408, 456, 646, 969, 1292, 1938, 2584, 3876, 7752
The HCF of 5478,7752 is 6.
Lets's calculate GCF of 5478,7752
| 2 | 5478, 7752 |
| 3 | 2739, 3876 |
| 913, 1292 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 5478,7752 By Matching Biggest Common Factor Method
Now, list down the factors of 5478
:1,2,3,6,11,22,33,66,83,166,249,498,913,1826,2739,5478
Now, list down the factors of 7752
:1,2,3,4,6,8,12,17,19,24,34,38,51,57,68,76,102,114,136,152,204,228,323,408,456,646,969,1292,1938,2584,3876,7752
Greatest Common Factor
We found the factors 5478,7752 . The biggest common factor number is the GCF number.
So the greatest common factor 5478,7752 is 6.
Lets's calculate LCM of 981,8834
Given numbers has no common factors except 1. So, there LCM is their product i.e 8666154
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/8666154
Therefore, the GCF of Fractions 5478/981,7752/8834 is 6/8666154
Least Common Multiple of 981,8834 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 981,8834 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(981,8834) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(981,8834) x common factors =1 x 1 = 1
LCM(981,8834) = ( 981 × 8834 ) / 1
LCM(981,8834) = 8666154 / 1
LCM(981,8834) = 8666154
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FAQs on GCF of Fractions of 5478/981, 7752/8834
1. What is the HCF of 5478,7752?
The HCF of 5478,7752 is 6
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 5478/981, 7752/8834?
Answer: GCF of Numerators as per given numbers 5478/981, 7752/8834 is
GCF of Numerators i.e. for 5478,7752 is 6
LCM of denominators i.e. for 981,8834 is 8666154.
Thus, GCF of Fractions is 6/8666154.Finally, GCF of Fractions for 5478/981, 7752/8834 is 6/8666154.