GCF of 1955/776, 4704/254
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1955/776, 4704/254 i.e 1/98552 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1955/776, 4704/254.
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 1955/776,4704/254?
Given fractions are 1955/776,4704/254
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 1955/776,4704/254, numerators are 1955,4704
Denominators are 776,254
The GCF of 1955,4704 is 1 .
LCM of 776,254 is 98552.
The greatest common factor of 1955/776,4704/254 = [GCF of 1955,4704]/[LCM of 776,254]= 1/98552
Therefore, the GCF of 1955/776,4704/254 is 1/98552.
To find the highest common factor of 1955,4704, we have to find the factors of both numbers and list the highest common factor.
The factors of 1955 are 1, 5, 17, 23, 85, 115, 391, 1955
The factors of 4704 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 49, 56, 84, 96, 98, 112, 147, 168, 196, 224, 294, 336, 392, 588, 672, 784, 1176, 1568, 2352, 4704
The HCF of 1955,4704 is 1.
Lets's calculate GCF of 1955,4704
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1955,4704 By Matching Biggest Common Factor Method
Now, list down the factors of 1955
:1,5,17,23,85,115,391,1955
Now, list down the factors of 4704
:1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,49,56,84,96,98,112,147,168,196,224,294,336,392,588,672,784,1176,1568,2352,4704
Greatest Common Factor
We found the factors 1955,4704 . The biggest common factor number is the GCF number.
So the greatest common factor 1955,4704 is 1.
Lets's calculate LCM of 776,254
| 2 | 776, 254 |
| 388, 127 |
∴ So the LCM of the given numbers is 2 x 388 x 127 = 98552
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/98552
Therefore, the GCF of Fractions 1955/776,4704/254 is 1/98552
Least Common Multiple of 776,254 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 776,254 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(776,254) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(776,254) x common factors =2 x 1 = 2
LCM(776,254) = ( 776 × 254 ) / 2
LCM(776,254) = 197104 / 2
LCM(776,254) = 98552
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FAQs on GCF of Fractions of 1955/776, 4704/254
1. What is the HCF of 1955,4704?
The HCF of 1955,4704 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 1955/776, 4704/254?
Answer: GCF of Numerators as per given numbers 1955/776, 4704/254 is
GCF of Numerators i.e. for 1955,4704 is 1
LCM of denominators i.e. for 776,254 is 98552.
Thus, GCF of Fractions is 1/98552.Finally, GCF of Fractions for 1955/776, 4704/254 is 1/98552.