GCF of 1295/708, 6804/154
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1295/708, 6804/154 i.e 7/54516 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1295/708, 6804/154.
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 1295/708,6804/154?
Given fractions are 1295/708,6804/154
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 1295/708,6804/154, numerators are 1295,6804
Denominators are 708,154
The GCF of 1295,6804 is 7 .
LCM of 708,154 is 54516.
The greatest common factor of 1295/708,6804/154 = [GCF of 1295,6804]/[LCM of 708,154]= 7/54516
Therefore, the GCF of 1295/708,6804/154 is 7/54516.
To find the highest common factor of 1295,6804, we have to find the factors of both numbers and list the highest common factor.
The factors of 1295 are 1, 5, 7, 35, 37, 185, 259, 1295
The factors of 6804 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 81, 84, 108, 126, 162, 189, 243, 252, 324, 378, 486, 567, 756, 972, 1134, 1701, 2268, 3402, 6804
The HCF of 1295,6804 is 7.
Lets's calculate GCF of 1295,6804
| 7 | 1295, 6804 |
| 185, 972 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 1295,6804 By Matching Biggest Common Factor Method
Now, list down the factors of 1295
:1,5,7,35,37,185,259,1295
Now, list down the factors of 6804
:1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,81,84,108,126,162,189,243,252,324,378,486,567,756,972,1134,1701,2268,3402,6804
Greatest Common Factor
We found the factors 1295,6804 . The biggest common factor number is the GCF number.
So the greatest common factor 1295,6804 is 7.
Lets's calculate LCM of 708,154
| 2 | 708, 154 |
| 354, 77 |
∴ So the LCM of the given numbers is 2 x 354 x 77 = 54516
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/54516
Therefore, the GCF of Fractions 1295/708,6804/154 is 7/54516
Least Common Multiple of 708,154 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 708,154 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(708,154) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(708,154) x common factors =2 x 1 = 2
LCM(708,154) = ( 708 × 154 ) / 2
LCM(708,154) = 109032 / 2
LCM(708,154) = 54516
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FAQs on GCF of Fractions of 1295/708, 6804/154
1. What is the HCF of 1295,6804?
The HCF of 1295,6804 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 1295/708, 6804/154?
Answer: GCF of Numerators as per given numbers 1295/708, 6804/154 is
GCF of Numerators i.e. for 1295,6804 is 7
LCM of denominators i.e. for 708,154 is 54516.
Thus, GCF of Fractions is 7/54516.Finally, GCF of Fractions for 1295/708, 6804/154 is 7/54516.