GCF of 4953/692, 1960/4970
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4953/692, 1960/4970 i.e 1/1719620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4953/692, 1960/4970.
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 4953/692,1960/4970?
Given fractions are 4953/692,1960/4970
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 4953/692,1960/4970, numerators are 4953,1960
Denominators are 692,4970
The GCF of 4953,1960 is 1 .
LCM of 692,4970 is 1719620.
The greatest common factor of 4953/692,1960/4970 = [GCF of 4953,1960]/[LCM of 692,4970]= 1/1719620
Therefore, the GCF of 4953/692,1960/4970 is 1/1719620.
To find the highest common factor of 4953,1960, we have to find the factors of both numbers and list the highest common factor.
The factors of 4953 are 1, 3, 13, 39, 127, 381, 1651, 4953
The factors of 1960 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 49, 56, 70, 98, 140, 196, 245, 280, 392, 490, 980, 1960
The HCF of 4953,1960 is 1.
Lets's calculate GCF of 4953,1960
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4953,1960 By Matching Biggest Common Factor Method
Now, list down the factors of 4953
:1,3,13,39,127,381,1651,4953
Now, list down the factors of 1960
:1,2,4,5,7,8,10,14,20,28,35,40,49,56,70,98,140,196,245,280,392,490,980,1960
Greatest Common Factor
We found the factors 4953,1960 . The biggest common factor number is the GCF number.
So the greatest common factor 4953,1960 is 1.
Lets's calculate LCM of 692,4970
| 2 | 692, 4970 |
| 346, 2485 |
∴ So the LCM of the given numbers is 2 x 346 x 2485 = 1719620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1719620
Therefore, the GCF of Fractions 4953/692,1960/4970 is 1/1719620
Least Common Multiple of 692,4970 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 692,4970 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(692,4970) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(692,4970) x common factors =2 x 1 = 2
LCM(692,4970) = ( 692 × 4970 ) / 2
LCM(692,4970) = 3439240 / 2
LCM(692,4970) = 1719620
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FAQs on GCF of Fractions of 4953/692, 1960/4970
1. What is the HCF of 4953,1960?
The HCF of 4953,1960 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 4953/692, 1960/4970?
Answer: GCF of Numerators as per given numbers 4953/692, 1960/4970 is
GCF of Numerators i.e. for 4953,1960 is 1
LCM of denominators i.e. for 692,4970 is 1719620.
Thus, GCF of Fractions is 1/1719620.Finally, GCF of Fractions for 4953/692, 1960/4970 is 1/1719620.