GCF of 4972/653, 1170/5091
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4972/653, 1170/5091 i.e 2/3324423 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4972/653, 1170/5091.
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 4972/653,1170/5091?
Given fractions are 4972/653,1170/5091
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 4972/653,1170/5091, numerators are 4972,1170
Denominators are 653,5091
The GCF of 4972,1170 is 2 .
LCM of 653,5091 is 3324423.
The greatest common factor of 4972/653,1170/5091 = [GCF of 4972,1170]/[LCM of 653,5091]= 2/3324423
Therefore, the GCF of 4972/653,1170/5091 is 2/3324423.
To find the highest common factor of 4972,1170, we have to find the factors of both numbers and list the highest common factor.
The factors of 4972 are 1, 2, 4, 11, 22, 44, 113, 226, 452, 1243, 2486, 4972
The factors of 1170 are 1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 30, 39, 45, 65, 78, 90, 117, 130, 195, 234, 390, 585, 1170
The HCF of 4972,1170 is 2.
Lets's calculate GCF of 4972,1170
| 2 | 4972, 1170 |
| 2486, 585 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4972,1170 By Matching Biggest Common Factor Method
Now, list down the factors of 4972
:1,2,4,11,22,44,113,226,452,1243,2486,4972
Now, list down the factors of 1170
:1,2,3,5,6,9,10,13,15,18,26,30,39,45,65,78,90,117,130,195,234,390,585,1170
Greatest Common Factor
We found the factors 4972,1170 . The biggest common factor number is the GCF number.
So the greatest common factor 4972,1170 is 2.
Lets's calculate LCM of 653,5091
Given numbers has no common factors except 1. So, there LCM is their product i.e 3324423
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3324423
Therefore, the GCF of Fractions 4972/653,1170/5091 is 2/3324423
Least Common Multiple of 653,5091 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 653,5091 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(653,5091) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(653,5091) x common factors =1 x 1 = 1
LCM(653,5091) = ( 653 × 5091 ) / 1
LCM(653,5091) = 3324423 / 1
LCM(653,5091) = 3324423
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FAQs on GCF of Fractions of 4972/653, 1170/5091
1. What is the HCF of 4972,1170?
The HCF of 4972,1170 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 4972/653, 1170/5091?
Answer: GCF of Numerators as per given numbers 4972/653, 1170/5091 is
GCF of Numerators i.e. for 4972,1170 is 2
LCM of denominators i.e. for 653,5091 is 3324423.
Thus, GCF of Fractions is 2/3324423.Finally, GCF of Fractions for 4972/653, 1170/5091 is 2/3324423.