GCF of 7972/810, 6254/2272
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7972/810, 6254/2272 i.e 2/920160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7972/810, 6254/2272.
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 7972/810,6254/2272?
Given fractions are 7972/810,6254/2272
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 7972/810,6254/2272, numerators are 7972,6254
Denominators are 810,2272
The GCF of 7972,6254 is 2 .
LCM of 810,2272 is 920160.
The greatest common factor of 7972/810,6254/2272 = [GCF of 7972,6254]/[LCM of 810,2272]= 2/920160
Therefore, the GCF of 7972/810,6254/2272 is 2/920160.
To find the highest common factor of 7972,6254, we have to find the factors of both numbers and list the highest common factor.
The factors of 7972 are 1, 2, 4, 1993, 3986, 7972
The factors of 6254 are 1, 2, 53, 59, 106, 118, 3127, 6254
The HCF of 7972,6254 is 2.
Lets's calculate GCF of 7972,6254
| 2 | 7972, 6254 |
| 3986, 3127 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7972,6254 By Matching Biggest Common Factor Method
Now, list down the factors of 7972
:1,2,4,1993,3986,7972
Now, list down the factors of 6254
:1,2,53,59,106,118,3127,6254
Greatest Common Factor
We found the factors 7972,6254 . The biggest common factor number is the GCF number.
So the greatest common factor 7972,6254 is 2.
Lets's calculate LCM of 810,2272
| 2 | 810, 2272 |
| 405, 1136 |
∴ So the LCM of the given numbers is 2 x 405 x 1136 = 920160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/920160
Therefore, the GCF of Fractions 7972/810,6254/2272 is 2/920160
Least Common Multiple of 810,2272 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 810,2272 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(810,2272) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(810,2272) x common factors =2 x 1 = 2
LCM(810,2272) = ( 810 × 2272 ) / 2
LCM(810,2272) = 1840320 / 2
LCM(810,2272) = 920160
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FAQs on GCF of Fractions of 7972/810, 6254/2272
1. What is the HCF of 7972,6254?
The HCF of 7972,6254 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 7972/810, 6254/2272?
Answer: GCF of Numerators as per given numbers 7972/810, 6254/2272 is
GCF of Numerators i.e. for 7972,6254 is 2
LCM of denominators i.e. for 810,2272 is 920160.
Thus, GCF of Fractions is 2/920160.Finally, GCF of Fractions for 7972/810, 6254/2272 is 2/920160.