GCF of 8778/653, 5687/1080
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8778/653, 5687/1080 i.e 11/705240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8778/653, 5687/1080.
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 8778/653,5687/1080?
Given fractions are 8778/653,5687/1080
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 8778/653,5687/1080, numerators are 8778,5687
Denominators are 653,1080
The GCF of 8778,5687 is 11 .
LCM of 653,1080 is 705240.
The greatest common factor of 8778/653,5687/1080 = [GCF of 8778,5687]/[LCM of 653,1080]= 11/705240
Therefore, the GCF of 8778/653,5687/1080 is 11/705240.
To find the highest common factor of 8778,5687, we have to find the factors of both numbers and list the highest common factor.
The factors of 8778 are 1, 2, 3, 6, 7, 11, 14, 19, 21, 22, 33, 38, 42, 57, 66, 77, 114, 133, 154, 209, 231, 266, 399, 418, 462, 627, 798, 1254, 1463, 2926, 4389, 8778
The factors of 5687 are 1, 11, 47, 121, 517, 5687
The HCF of 8778,5687 is 11.
Lets's calculate GCF of 8778,5687
| 11 | 8778, 5687 |
| 798, 517 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 8778,5687 By Matching Biggest Common Factor Method
Now, list down the factors of 8778
:1,2,3,6,7,11,14,19,21,22,33,38,42,57,66,77,114,133,154,209,231,266,399,418,462,627,798,1254,1463,2926,4389,8778
Now, list down the factors of 5687
:1,11,47,121,517,5687
Greatest Common Factor
We found the factors 8778,5687 . The biggest common factor number is the GCF number.
So the greatest common factor 8778,5687 is 11.
Lets's calculate LCM of 653,1080
Given numbers has no common factors except 1. So, there LCM is their product i.e 705240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/705240
Therefore, the GCF of Fractions 8778/653,5687/1080 is 11/705240
Least Common Multiple of 653,1080 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 653,1080 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(653,1080) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(653,1080) x common factors =1 x 1 = 1
LCM(653,1080) = ( 653 × 1080 ) / 1
LCM(653,1080) = 705240 / 1
LCM(653,1080) = 705240
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FAQs on GCF of Fractions of 8778/653, 5687/1080
1. What is the HCF of 8778,5687?
The HCF of 8778,5687 is 11
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 8778/653, 5687/1080?
Answer: GCF of Numerators as per given numbers 8778/653, 5687/1080 is
GCF of Numerators i.e. for 8778,5687 is 11
LCM of denominators i.e. for 653,1080 is 705240.
Thus, GCF of Fractions is 11/705240.Finally, GCF of Fractions for 8778/653, 5687/1080 is 11/705240.