GCF of 7954/190, 2248/3210
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7954/190, 2248/3210 i.e 2/60990 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7954/190, 2248/3210.
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 7954/190,2248/3210?
Given fractions are 7954/190,2248/3210
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 7954/190,2248/3210, numerators are 7954,2248
Denominators are 190,3210
The GCF of 7954,2248 is 2 .
LCM of 190,3210 is 60990.
The greatest common factor of 7954/190,2248/3210 = [GCF of 7954,2248]/[LCM of 190,3210]= 2/60990
Therefore, the GCF of 7954/190,2248/3210 is 2/60990.
To find the highest common factor of 7954,2248, we have to find the factors of both numbers and list the highest common factor.
The factors of 7954 are 1, 2, 41, 82, 97, 194, 3977, 7954
The factors of 2248 are 1, 2, 4, 8, 281, 562, 1124, 2248
The HCF of 7954,2248 is 2.
Lets's calculate GCF of 7954,2248
| 2 | 7954, 2248 |
| 3977, 1124 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7954,2248 By Matching Biggest Common Factor Method
Now, list down the factors of 7954
:1,2,41,82,97,194,3977,7954
Now, list down the factors of 2248
:1,2,4,8,281,562,1124,2248
Greatest Common Factor
We found the factors 7954,2248 . The biggest common factor number is the GCF number.
So the greatest common factor 7954,2248 is 2.
Lets's calculate LCM of 190,3210
| 2 | 190, 3210 |
| 5 | 95, 1605 |
| 19, 321 |
∴ So the LCM of the given numbers is 2 x 5 x 19 x 321 = 60990
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/60990
Therefore, the GCF of Fractions 7954/190,2248/3210 is 2/60990
Least Common Multiple of 190,3210 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 190,3210 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(190,3210) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(190,3210) x common factors =10 x 1 = 10
LCM(190,3210) = ( 190 × 3210 ) / 10
LCM(190,3210) = 609900 / 10
LCM(190,3210) = 60990
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FAQs on GCF of Fractions of 7954/190, 2248/3210
1. What is the HCF of 7954,2248?
The HCF of 7954,2248 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 7954/190, 2248/3210?
Answer: GCF of Numerators as per given numbers 7954/190, 2248/3210 is
GCF of Numerators i.e. for 7954,2248 is 2
LCM of denominators i.e. for 190,3210 is 60990.
Thus, GCF of Fractions is 2/60990.Finally, GCF of Fractions for 7954/190, 2248/3210 is 2/60990.