GCF of 1118/875, 7730/9552
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1118/875, 7730/9552 i.e 2/8358000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1118/875, 7730/9552.
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 1118/875,7730/9552?
Given fractions are 1118/875,7730/9552
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 1118/875,7730/9552, numerators are 1118,7730
Denominators are 875,9552
The GCF of 1118,7730 is 2 .
LCM of 875,9552 is 8358000.
The greatest common factor of 1118/875,7730/9552 = [GCF of 1118,7730]/[LCM of 875,9552]= 2/8358000
Therefore, the GCF of 1118/875,7730/9552 is 2/8358000.
To find the highest common factor of 1118,7730, we have to find the factors of both numbers and list the highest common factor.
The factors of 1118 are 1, 2, 13, 26, 43, 86, 559, 1118
The factors of 7730 are 1, 2, 5, 10, 773, 1546, 3865, 7730
The HCF of 1118,7730 is 2.
Lets's calculate GCF of 1118,7730
| 2 | 1118, 7730 |
| 559, 3865 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1118,7730 By Matching Biggest Common Factor Method
Now, list down the factors of 1118
:1,2,13,26,43,86,559,1118
Now, list down the factors of 7730
:1,2,5,10,773,1546,3865,7730
Greatest Common Factor
We found the factors 1118,7730 . The biggest common factor number is the GCF number.
So the greatest common factor 1118,7730 is 2.
Lets's calculate LCM of 875,9552
Given numbers has no common factors except 1. So, there LCM is their product i.e 8358000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8358000
Therefore, the GCF of Fractions 1118/875,7730/9552 is 2/8358000
Least Common Multiple of 875,9552 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 875,9552 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(875,9552) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(875,9552) x common factors =1 x 1 = 1
LCM(875,9552) = ( 875 × 9552 ) / 1
LCM(875,9552) = 8358000 / 1
LCM(875,9552) = 8358000
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FAQs on GCF of Fractions of 1118/875, 7730/9552
1. What is the HCF of 1118,7730?
The HCF of 1118,7730 is 2
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 1118/875, 7730/9552?
Answer: GCF of Numerators as per given numbers 1118/875, 7730/9552 is
GCF of Numerators i.e. for 1118,7730 is 2
LCM of denominators i.e. for 875,9552 is 8358000.
Thus, GCF of Fractions is 2/8358000.Finally, GCF of Fractions for 1118/875, 7730/9552 is 2/8358000.