GCF of 7025/684, 3410/9260
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7025/684, 3410/9260 i.e 5/1583460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7025/684, 3410/9260.
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 7025/684,3410/9260?
Given fractions are 7025/684,3410/9260
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 7025/684,3410/9260, numerators are 7025,3410
Denominators are 684,9260
The GCF of 7025,3410 is 5 .
LCM of 684,9260 is 1583460.
The greatest common factor of 7025/684,3410/9260 = [GCF of 7025,3410]/[LCM of 684,9260]= 5/1583460
Therefore, the GCF of 7025/684,3410/9260 is 5/1583460.
To find the highest common factor of 7025,3410, we have to find the factors of both numbers and list the highest common factor.
The factors of 7025 are 1, 5, 25, 281, 1405, 7025
The factors of 3410 are 1, 2, 5, 10, 11, 22, 31, 55, 62, 110, 155, 310, 341, 682, 1705, 3410
The HCF of 7025,3410 is 5.
Lets's calculate GCF of 7025,3410
| 5 | 7025, 3410 |
| 1405, 682 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 7025,3410 By Matching Biggest Common Factor Method
Now, list down the factors of 7025
:1,5,25,281,1405,7025
Now, list down the factors of 3410
:1,2,5,10,11,22,31,55,62,110,155,310,341,682,1705,3410
Greatest Common Factor
We found the factors 7025,3410 . The biggest common factor number is the GCF number.
So the greatest common factor 7025,3410 is 5.
Lets's calculate LCM of 684,9260
| 2 | 684, 9260 |
| 2 | 342, 4630 |
| 171, 2315 |
∴ So the LCM of the given numbers is 2 x 2 x 171 x 2315 = 1583460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1583460
Therefore, the GCF of Fractions 7025/684,3410/9260 is 5/1583460
Least Common Multiple of 684,9260 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 684,9260 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(684,9260) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(684,9260) x common factors =4 x 1 = 4
LCM(684,9260) = ( 684 × 9260 ) / 4
LCM(684,9260) = 6333840 / 4
LCM(684,9260) = 1583460
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FAQs on GCF of Fractions of 7025/684, 3410/9260
1. What is the HCF of 7025,3410?
The HCF of 7025,3410 is 5
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 7025/684, 3410/9260?
Answer: GCF of Numerators as per given numbers 7025/684, 3410/9260 is
GCF of Numerators i.e. for 7025,3410 is 5
LCM of denominators i.e. for 684,9260 is 1583460.
Thus, GCF of Fractions is 5/1583460.Finally, GCF of Fractions for 7025/684, 3410/9260 is 5/1583460.