GCF of 7914/304, 6707/802
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7914/304, 6707/802 i.e 1/121904 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7914/304, 6707/802.
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 7914/304,6707/802?
Given fractions are 7914/304,6707/802
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 7914/304,6707/802, numerators are 7914,6707
Denominators are 304,802
The GCF of 7914,6707 is 1 .
LCM of 304,802 is 121904.
The greatest common factor of 7914/304,6707/802 = [GCF of 7914,6707]/[LCM of 304,802]= 1/121904
Therefore, the GCF of 7914/304,6707/802 is 1/121904.
To find the highest common factor of 7914,6707, we have to find the factors of both numbers and list the highest common factor.
The factors of 7914 are 1, 2, 3, 6, 1319, 2638, 3957, 7914
The factors of 6707 are 1, 19, 353, 6707
The HCF of 7914,6707 is 1.
Lets's calculate GCF of 7914,6707
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7914,6707 By Matching Biggest Common Factor Method
Now, list down the factors of 7914
:1,2,3,6,1319,2638,3957,7914
Now, list down the factors of 6707
:1,19,353,6707
Greatest Common Factor
We found the factors 7914,6707 . The biggest common factor number is the GCF number.
So the greatest common factor 7914,6707 is 1.
Lets's calculate LCM of 304,802
| 2 | 304, 802 |
| 152, 401 |
∴ So the LCM of the given numbers is 2 x 152 x 401 = 121904
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/121904
Therefore, the GCF of Fractions 7914/304,6707/802 is 1/121904
Least Common Multiple of 304,802 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 304,802 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(304,802) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(304,802) x common factors =2 x 1 = 2
LCM(304,802) = ( 304 × 802 ) / 2
LCM(304,802) = 243808 / 2
LCM(304,802) = 121904
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FAQs on GCF of Fractions of 7914/304, 6707/802
1. What is the HCF of 7914,6707?
The HCF of 7914,6707 is 1
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 7914/304, 6707/802?
Answer: GCF of Numerators as per given numbers 7914/304, 6707/802 is
GCF of Numerators i.e. for 7914,6707 is 1
LCM of denominators i.e. for 304,802 is 121904.
Thus, GCF of Fractions is 1/121904.Finally, GCF of Fractions for 7914/304, 6707/802 is 1/121904.