GCF of 7434/680, 5469/712
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7434/680, 5469/712 i.e 3/60520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7434/680, 5469/712.
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 7434/680,5469/712?
Given fractions are 7434/680,5469/712
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 7434/680,5469/712, numerators are 7434,5469
Denominators are 680,712
The GCF of 7434,5469 is 3 .
LCM of 680,712 is 60520.
The greatest common factor of 7434/680,5469/712 = [GCF of 7434,5469]/[LCM of 680,712]= 3/60520
Therefore, the GCF of 7434/680,5469/712 is 3/60520.
To find the highest common factor of 7434,5469, we have to find the factors of both numbers and list the highest common factor.
The factors of 7434 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 59, 63, 118, 126, 177, 354, 413, 531, 826, 1062, 1239, 2478, 3717, 7434
The factors of 5469 are 1, 3, 1823, 5469
The HCF of 7434,5469 is 3.
Lets's calculate GCF of 7434,5469
| 3 | 7434, 5469 |
| 2478, 1823 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7434,5469 By Matching Biggest Common Factor Method
Now, list down the factors of 7434
:1,2,3,6,7,9,14,18,21,42,59,63,118,126,177,354,413,531,826,1062,1239,2478,3717,7434
Now, list down the factors of 5469
:1,3,1823,5469
Greatest Common Factor
We found the factors 7434,5469 . The biggest common factor number is the GCF number.
So the greatest common factor 7434,5469 is 3.
Lets's calculate LCM of 680,712
| 2 | 680, 712 |
| 2 | 340, 356 |
| 2 | 170, 178 |
| 85, 89 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 85 x 89 = 60520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/60520
Therefore, the GCF of Fractions 7434/680,5469/712 is 3/60520
Least Common Multiple of 680,712 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 680,712 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(680,712) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(680,712) x common factors =8 x 1 = 8
LCM(680,712) = ( 680 × 712 ) / 8
LCM(680,712) = 484160 / 8
LCM(680,712) = 60520
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FAQs on GCF of Fractions of 7434/680, 5469/712
1. What is the HCF of 7434,5469?
The HCF of 7434,5469 is 3
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 7434/680, 5469/712?
Answer: GCF of Numerators as per given numbers 7434/680, 5469/712 is
GCF of Numerators i.e. for 7434,5469 is 3
LCM of denominators i.e. for 680,712 is 60520.
Thus, GCF of Fractions is 3/60520.Finally, GCF of Fractions for 7434/680, 5469/712 is 3/60520.