GCF of 1956/245, 2178/7912
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1956/245, 2178/7912 i.e 6/1938440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1956/245, 2178/7912.
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 1956/245,2178/7912?
Given fractions are 1956/245,2178/7912
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 1956/245,2178/7912, numerators are 1956,2178
Denominators are 245,7912
The GCF of 1956,2178 is 6 .
LCM of 245,7912 is 1938440.
The greatest common factor of 1956/245,2178/7912 = [GCF of 1956,2178]/[LCM of 245,7912]= 6/1938440
Therefore, the GCF of 1956/245,2178/7912 is 6/1938440.
To find the highest common factor of 1956,2178, we have to find the factors of both numbers and list the highest common factor.
The factors of 1956 are 1, 2, 3, 4, 6, 12, 163, 326, 489, 652, 978, 1956
The factors of 2178 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 121, 198, 242, 363, 726, 1089, 2178
The HCF of 1956,2178 is 6.
Lets's calculate GCF of 1956,2178
| 2 | 1956, 2178 |
| 3 | 978, 1089 |
| 326, 363 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 1956,2178 By Matching Biggest Common Factor Method
Now, list down the factors of 1956
:1,2,3,4,6,12,163,326,489,652,978,1956
Now, list down the factors of 2178
:1,2,3,6,9,11,18,22,33,66,99,121,198,242,363,726,1089,2178
Greatest Common Factor
We found the factors 1956,2178 . The biggest common factor number is the GCF number.
So the greatest common factor 1956,2178 is 6.
Lets's calculate LCM of 245,7912
Given numbers has no common factors except 1. So, there LCM is their product i.e 1938440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1938440
Therefore, the GCF of Fractions 1956/245,2178/7912 is 6/1938440
Least Common Multiple of 245,7912 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 245,7912 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(245,7912) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(245,7912) x common factors =1 x 1 = 1
LCM(245,7912) = ( 245 × 7912 ) / 1
LCM(245,7912) = 1938440 / 1
LCM(245,7912) = 1938440
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FAQs on GCF of Fractions of 1956/245, 2178/7912
1. What is the HCF of 1956,2178?
The HCF of 1956,2178 is 6
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 1956/245, 2178/7912?
Answer: GCF of Numerators as per given numbers 1956/245, 2178/7912 is
GCF of Numerators i.e. for 1956,2178 is 6
LCM of denominators i.e. for 245,7912 is 1938440.
Thus, GCF of Fractions is 6/1938440.Finally, GCF of Fractions for 1956/245, 2178/7912 is 6/1938440.