GCF of 6970/708, 2590/7924
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6970/708, 2590/7924 i.e 10/1402548 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6970/708, 2590/7924.
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 6970/708,2590/7924?
Given fractions are 6970/708,2590/7924
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 6970/708,2590/7924, numerators are 6970,2590
Denominators are 708,7924
The GCF of 6970,2590 is 10 .
LCM of 708,7924 is 1402548.
The greatest common factor of 6970/708,2590/7924 = [GCF of 6970,2590]/[LCM of 708,7924]= 10/1402548
Therefore, the GCF of 6970/708,2590/7924 is 10/1402548.
To find the highest common factor of 6970,2590, we have to find the factors of both numbers and list the highest common factor.
The factors of 6970 are 1, 2, 5, 10, 17, 34, 41, 82, 85, 170, 205, 410, 697, 1394, 3485, 6970
The factors of 2590 are 1, 2, 5, 7, 10, 14, 35, 37, 70, 74, 185, 259, 370, 518, 1295, 2590
The HCF of 6970,2590 is 10.
Lets's calculate GCF of 6970,2590
| 2 | 6970, 2590 |
| 5 | 3485, 1295 |
| 697, 259 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 6970,2590 By Matching Biggest Common Factor Method
Now, list down the factors of 6970
:1,2,5,10,17,34,41,82,85,170,205,410,697,1394,3485,6970
Now, list down the factors of 2590
:1,2,5,7,10,14,35,37,70,74,185,259,370,518,1295,2590
Greatest Common Factor
We found the factors 6970,2590 . The biggest common factor number is the GCF number.
So the greatest common factor 6970,2590 is 10.
Lets's calculate LCM of 708,7924
| 2 | 708, 7924 |
| 2 | 354, 3962 |
| 177, 1981 |
∴ So the LCM of the given numbers is 2 x 2 x 177 x 1981 = 1402548
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/1402548
Therefore, the GCF of Fractions 6970/708,2590/7924 is 10/1402548
Least Common Multiple of 708,7924 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 708,7924 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(708,7924) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(708,7924) x common factors =4 x 1 = 4
LCM(708,7924) = ( 708 × 7924 ) / 4
LCM(708,7924) = 5610192 / 4
LCM(708,7924) = 1402548
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FAQs on GCF of Fractions of 6970/708, 2590/7924
1. What is the HCF of 6970,2590?
The HCF of 6970,2590 is 10
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 6970/708, 2590/7924?
Answer: GCF of Numerators as per given numbers 6970/708, 2590/7924 is
GCF of Numerators i.e. for 6970,2590 is 10
LCM of denominators i.e. for 708,7924 is 1402548.
Thus, GCF of Fractions is 10/1402548.Finally, GCF of Fractions for 6970/708, 2590/7924 is 10/1402548.