GCF of 7448/702, 8610/1614
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7448/702, 8610/1614 i.e 14/188838 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7448/702, 8610/1614.
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 7448/702,8610/1614?
Given fractions are 7448/702,8610/1614
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 7448/702,8610/1614, numerators are 7448,8610
Denominators are 702,1614
The GCF of 7448,8610 is 14 .
LCM of 702,1614 is 188838.
The greatest common factor of 7448/702,8610/1614 = [GCF of 7448,8610]/[LCM of 702,1614]= 14/188838
Therefore, the GCF of 7448/702,8610/1614 is 14/188838.
To find the highest common factor of 7448,8610, we have to find the factors of both numbers and list the highest common factor.
The factors of 7448 are 1, 2, 4, 7, 8, 14, 19, 28, 38, 49, 56, 76, 98, 133, 152, 196, 266, 392, 532, 931, 1064, 1862, 3724, 7448
The factors of 8610 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 41, 42, 70, 82, 105, 123, 205, 210, 246, 287, 410, 574, 615, 861, 1230, 1435, 1722, 2870, 4305, 8610
The HCF of 7448,8610 is 14.
Lets's calculate GCF of 7448,8610
| 2 | 7448, 8610 |
| 7 | 3724, 4305 |
| 532, 615 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 7448,8610 By Matching Biggest Common Factor Method
Now, list down the factors of 7448
:1,2,4,7,8,14,19,28,38,49,56,76,98,133,152,196,266,392,532,931,1064,1862,3724,7448
Now, list down the factors of 8610
:1,2,3,5,6,7,10,14,15,21,30,35,41,42,70,82,105,123,205,210,246,287,410,574,615,861,1230,1435,1722,2870,4305,8610
Greatest Common Factor
We found the factors 7448,8610 . The biggest common factor number is the GCF number.
So the greatest common factor 7448,8610 is 14.
Lets's calculate LCM of 702,1614
| 2 | 702, 1614 |
| 3 | 351, 807 |
| 117, 269 |
∴ So the LCM of the given numbers is 2 x 3 x 117 x 269 = 188838
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/188838
Therefore, the GCF of Fractions 7448/702,8610/1614 is 14/188838
Least Common Multiple of 702,1614 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 702,1614 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(702,1614) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(702,1614) x common factors =6 x 1 = 6
LCM(702,1614) = ( 702 × 1614 ) / 6
LCM(702,1614) = 1133028 / 6
LCM(702,1614) = 188838
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 7448/702, 8610/1614
1. What is the HCF of 7448,8610?
The HCF of 7448,8610 is 14
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 7448/702, 8610/1614?
Answer: GCF of Numerators as per given numbers 7448/702, 8610/1614 is
GCF of Numerators i.e. for 7448,8610 is 14
LCM of denominators i.e. for 702,1614 is 188838.
Thus, GCF of Fractions is 14/188838.Finally, GCF of Fractions for 7448/702, 8610/1614 is 14/188838.