GCF of 1976/914, 6783/6735
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1976/914, 6783/6735 i.e 19/6155790 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1976/914, 6783/6735.
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 1976/914,6783/6735?
Given fractions are 1976/914,6783/6735
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 1976/914,6783/6735, numerators are 1976,6783
Denominators are 914,6735
The GCF of 1976,6783 is 19 .
LCM of 914,6735 is 6155790.
The greatest common factor of 1976/914,6783/6735 = [GCF of 1976,6783]/[LCM of 914,6735]= 19/6155790
Therefore, the GCF of 1976/914,6783/6735 is 19/6155790.
To find the highest common factor of 1976,6783, we have to find the factors of both numbers and list the highest common factor.
The factors of 1976 are 1, 2, 4, 8, 13, 19, 26, 38, 52, 76, 104, 152, 247, 494, 988, 1976
The factors of 6783 are 1, 3, 7, 17, 19, 21, 51, 57, 119, 133, 323, 357, 399, 969, 2261, 6783
The HCF of 1976,6783 is 19.
Lets's calculate GCF of 1976,6783
| 19 | 1976, 6783 |
| 104, 357 |
∴ So the GCF of the given numbers is 19 = 19
Greatest Common Factor of 1976,6783 By Matching Biggest Common Factor Method
Now, list down the factors of 1976
:1,2,4,8,13,19,26,38,52,76,104,152,247,494,988,1976
Now, list down the factors of 6783
:1,3,7,17,19,21,51,57,119,133,323,357,399,969,2261,6783
Greatest Common Factor
We found the factors 1976,6783 . The biggest common factor number is the GCF number.
So the greatest common factor 1976,6783 is 19.
Lets's calculate LCM of 914,6735
Given numbers has no common factors except 1. So, there LCM is their product i.e 6155790
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/6155790
Therefore, the GCF of Fractions 1976/914,6783/6735 is 19/6155790
Least Common Multiple of 914,6735 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 914,6735 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(914,6735) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(914,6735) x common factors =1 x 1 = 1
LCM(914,6735) = ( 914 × 6735 ) / 1
LCM(914,6735) = 6155790 / 1
LCM(914,6735) = 6155790
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FAQs on GCF of Fractions of 1976/914, 6783/6735
1. What is the HCF of 1976,6783?
The HCF of 1976,6783 is 19
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 1976/914, 6783/6735?
Answer: GCF of Numerators as per given numbers 1976/914, 6783/6735 is
GCF of Numerators i.e. for 1976,6783 is 19
LCM of denominators i.e. for 914,6735 is 6155790.
Thus, GCF of Fractions is 19/6155790.Finally, GCF of Fractions for 1976/914, 6783/6735 is 19/6155790.