GCF of 2128/701, 9955/701
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2128/701, 9955/701 i.e 1/701 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2128/701, 9955/701.
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 2128/701,9955/701?
Given fractions are 2128/701,9955/701
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 2128/701,9955/701, numerators are 2128,9955
Denominators are 701,701
The GCF of 2128,9955 is 1 .
LCM of 701,701 is 701.
The greatest common factor of 2128/701,9955/701 = [GCF of 2128,9955]/[LCM of 701,701]= 1/701
Therefore, the GCF of 2128/701,9955/701 is 1/701.
To find the highest common factor of 2128,9955, we have to find the factors of both numbers and list the highest common factor.
The factors of 2128 are 1, 2, 4, 7, 8, 14, 16, 19, 28, 38, 56, 76, 112, 133, 152, 266, 304, 532, 1064, 2128
The factors of 9955 are 1, 5, 11, 55, 181, 905, 1991, 9955
The HCF of 2128,9955 is 1.
Lets's calculate GCF of 2128,9955
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2128,9955 By Matching Biggest Common Factor Method
Now, list down the factors of 2128
:1,2,4,7,8,14,16,19,28,38,56,76,112,133,152,266,304,532,1064,2128
Now, list down the factors of 9955
:1,5,11,55,181,905,1991,9955
Greatest Common Factor
We found the factors 2128,9955 . The biggest common factor number is the GCF number.
So the greatest common factor 2128,9955 is 1.
Lets's calculate LCM of 701,701
| 701 | 701, 701 |
| 1, 1 |
∴ So the LCM of the given numbers is 701 x 1 x 1 = 701
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/701
Therefore, the GCF of Fractions 2128/701,9955/701 is 1/701
Least Common Multiple of 701,701 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 701,701 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(701,701) = 701
common factors(in case of two or more numbers have common factors) = 1
GCF(701,701) x common factors =701 x 1 = 701
LCM(701,701) = ( 701 × 701 ) / 701
LCM(701,701) = 491401 / 701
LCM(701,701) = 701
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FAQs on GCF of Fractions of 2128/701, 9955/701
1. What is the HCF of 2128,9955?
The HCF of 2128,9955 is 1
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 2128/701, 9955/701?
Answer: GCF of Numerators as per given numbers 2128/701, 9955/701 is
GCF of Numerators i.e. for 2128,9955 is 1
LCM of denominators i.e. for 701,701 is 701.
Thus, GCF of Fractions is 1/701.Finally, GCF of Fractions for 2128/701, 9955/701 is 1/701.