GCF of 1358/771, 1295/8334
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1358/771, 1295/8334 i.e 7/2141838 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1358/771, 1295/8334.
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 1358/771,1295/8334?
Given fractions are 1358/771,1295/8334
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 1358/771,1295/8334, numerators are 1358,1295
Denominators are 771,8334
The GCF of 1358,1295 is 7 .
LCM of 771,8334 is 2141838.
The greatest common factor of 1358/771,1295/8334 = [GCF of 1358,1295]/[LCM of 771,8334]= 7/2141838
Therefore, the GCF of 1358/771,1295/8334 is 7/2141838.
To find the highest common factor of 1358,1295, we have to find the factors of both numbers and list the highest common factor.
The factors of 1358 are 1, 2, 7, 14, 97, 194, 679, 1358
The factors of 1295 are 1, 5, 7, 35, 37, 185, 259, 1295
The HCF of 1358,1295 is 7.
Lets's calculate GCF of 1358,1295
| 7 | 1358, 1295 |
| 194, 185 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 1358,1295 By Matching Biggest Common Factor Method
Now, list down the factors of 1358
:1,2,7,14,97,194,679,1358
Now, list down the factors of 1295
:1,5,7,35,37,185,259,1295
Greatest Common Factor
We found the factors 1358,1295 . The biggest common factor number is the GCF number.
So the greatest common factor 1358,1295 is 7.
Lets's calculate LCM of 771,8334
| 3 | 771, 8334 |
| 257, 2778 |
∴ So the LCM of the given numbers is 3 x 257 x 2778 = 2141838
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/2141838
Therefore, the GCF of Fractions 1358/771,1295/8334 is 7/2141838
Least Common Multiple of 771,8334 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 771,8334 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(771,8334) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(771,8334) x common factors =3 x 1 = 3
LCM(771,8334) = ( 771 × 8334 ) / 3
LCM(771,8334) = 6425514 / 3
LCM(771,8334) = 2141838
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FAQs on GCF of Fractions of 1358/771, 1295/8334
1. What is the HCF of 1358,1295?
The HCF of 1358,1295 is 7
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 1358/771, 1295/8334?
Answer: GCF of Numerators as per given numbers 1358/771, 1295/8334 is
GCF of Numerators i.e. for 1358,1295 is 7
LCM of denominators i.e. for 771,8334 is 2141838.
Thus, GCF of Fractions is 7/2141838.Finally, GCF of Fractions for 1358/771, 1295/8334 is 7/2141838.