GCF of 4207/972, 3480/8674
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4207/972, 3480/8674 i.e 1/4215564 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4207/972, 3480/8674.
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 4207/972,3480/8674?
Given fractions are 4207/972,3480/8674
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 4207/972,3480/8674, numerators are 4207,3480
Denominators are 972,8674
The GCF of 4207,3480 is 1 .
LCM of 972,8674 is 4215564.
The greatest common factor of 4207/972,3480/8674 = [GCF of 4207,3480]/[LCM of 972,8674]= 1/4215564
Therefore, the GCF of 4207/972,3480/8674 is 1/4215564.
To find the highest common factor of 4207,3480, we have to find the factors of both numbers and list the highest common factor.
The factors of 4207 are 1, 7, 601, 4207
The factors of 3480 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 29, 30, 40, 58, 60, 87, 116, 120, 145, 174, 232, 290, 348, 435, 580, 696, 870, 1160, 1740, 3480
The HCF of 4207,3480 is 1.
Lets's calculate GCF of 4207,3480
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4207,3480 By Matching Biggest Common Factor Method
Now, list down the factors of 4207
:1,7,601,4207
Now, list down the factors of 3480
:1,2,3,4,5,6,8,10,12,15,20,24,29,30,40,58,60,87,116,120,145,174,232,290,348,435,580,696,870,1160,1740,3480
Greatest Common Factor
We found the factors 4207,3480 . The biggest common factor number is the GCF number.
So the greatest common factor 4207,3480 is 1.
Lets's calculate LCM of 972,8674
| 2 | 972, 8674 |
| 486, 4337 |
∴ So the LCM of the given numbers is 2 x 486 x 4337 = 4215564
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4215564
Therefore, the GCF of Fractions 4207/972,3480/8674 is 1/4215564
Least Common Multiple of 972,8674 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 972,8674 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(972,8674) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(972,8674) x common factors =2 x 1 = 2
LCM(972,8674) = ( 972 × 8674 ) / 2
LCM(972,8674) = 8431128 / 2
LCM(972,8674) = 4215564
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FAQs on GCF of Fractions of 4207/972, 3480/8674
1. What is the HCF of 4207,3480?
The HCF of 4207,3480 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 4207/972, 3480/8674?
Answer: GCF of Numerators as per given numbers 4207/972, 3480/8674 is
GCF of Numerators i.e. for 4207,3480 is 1
LCM of denominators i.e. for 972,8674 is 4215564.
Thus, GCF of Fractions is 1/4215564.Finally, GCF of Fractions for 4207/972, 3480/8674 is 1/4215564.