GCF of 1108/881, 7552/271
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1108/881, 7552/271 i.e 4/238751 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1108/881, 7552/271.
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 1108/881,7552/271?
Given fractions are 1108/881,7552/271
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 1108/881,7552/271, numerators are 1108,7552
Denominators are 881,271
The GCF of 1108,7552 is 4 .
LCM of 881,271 is 238751.
The greatest common factor of 1108/881,7552/271 = [GCF of 1108,7552]/[LCM of 881,271]= 4/238751
Therefore, the GCF of 1108/881,7552/271 is 4/238751.
To find the highest common factor of 1108,7552, we have to find the factors of both numbers and list the highest common factor.
The factors of 1108 are 1, 2, 4, 277, 554, 1108
The factors of 7552 are 1, 2, 4, 8, 16, 32, 59, 64, 118, 128, 236, 472, 944, 1888, 3776, 7552
The HCF of 1108,7552 is 4.
Lets's calculate GCF of 1108,7552
| 2 | 1108, 7552 |
| 2 | 554, 3776 |
| 277, 1888 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 1108,7552 By Matching Biggest Common Factor Method
Now, list down the factors of 1108
:1,2,4,277,554,1108
Now, list down the factors of 7552
:1,2,4,8,16,32,59,64,118,128,236,472,944,1888,3776,7552
Greatest Common Factor
We found the factors 1108,7552 . The biggest common factor number is the GCF number.
So the greatest common factor 1108,7552 is 4.
Lets's calculate LCM of 881,271
Given numbers has no common factors except 1. So, there LCM is their product i.e 238751
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/238751
Therefore, the GCF of Fractions 1108/881,7552/271 is 4/238751
Least Common Multiple of 881,271 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 881,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(881,271) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(881,271) x common factors =1 x 1 = 1
LCM(881,271) = ( 881 × 271 ) / 1
LCM(881,271) = 238751 / 1
LCM(881,271) = 238751
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FAQs on GCF of Fractions of 1108/881, 7552/271
1. What is the HCF of 1108,7552?
The HCF of 1108,7552 is 4
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 1108/881, 7552/271?
Answer: GCF of Numerators as per given numbers 1108/881, 7552/271 is
GCF of Numerators i.e. for 1108,7552 is 4
LCM of denominators i.e. for 881,271 is 238751.
Thus, GCF of Fractions is 4/238751.Finally, GCF of Fractions for 1108/881, 7552/271 is 4/238751.