GCF of 7445/164, 2520/3157
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7445/164, 2520/3157 i.e 5/12628 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7445/164, 2520/3157.
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 7445/164,2520/3157?
Given fractions are 7445/164,2520/3157
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 7445/164,2520/3157, numerators are 7445,2520
Denominators are 164,3157
The GCF of 7445,2520 is 5 .
LCM of 164,3157 is 12628.
The greatest common factor of 7445/164,2520/3157 = [GCF of 7445,2520]/[LCM of 164,3157]= 5/12628
Therefore, the GCF of 7445/164,2520/3157 is 5/12628.
To find the highest common factor of 7445,2520, we have to find the factors of both numbers and list the highest common factor.
The factors of 7445 are 1, 5, 1489, 7445
The factors of 2520 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 21, 24, 28, 30, 35, 36, 40, 42, 45, 56, 60, 63, 70, 72, 84, 90, 105, 120, 126, 140, 168, 180, 210, 252, 280, 315, 360, 420, 504, 630, 840, 1260, 2520
The HCF of 7445,2520 is 5.
Lets's calculate GCF of 7445,2520
| 5 | 7445, 2520 |
| 1489, 504 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 7445,2520 By Matching Biggest Common Factor Method
Now, list down the factors of 7445
:1,5,1489,7445
Now, list down the factors of 2520
:1,2,3,4,5,6,7,8,9,10,12,14,15,18,20,21,24,28,30,35,36,40,42,45,56,60,63,70,72,84,90,105,120,126,140,168,180,210,252,280,315,360,420,504,630,840,1260,2520
Greatest Common Factor
We found the factors 7445,2520 . The biggest common factor number is the GCF number.
So the greatest common factor 7445,2520 is 5.
Lets's calculate LCM of 164,3157
| 41 | 164, 3157 |
| 4, 77 |
∴ So the LCM of the given numbers is 41 x 4 x 77 = 12628
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/12628
Therefore, the GCF of Fractions 7445/164,2520/3157 is 5/12628
Least Common Multiple of 164,3157 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 164,3157 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(164,3157) = 41
common factors(in case of two or more numbers have common factors) = 1
GCF(164,3157) x common factors =41 x 1 = 41
LCM(164,3157) = ( 164 × 3157 ) / 41
LCM(164,3157) = 517748 / 41
LCM(164,3157) = 12628
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FAQs on GCF of Fractions of 7445/164, 2520/3157
1. What is the HCF of 7445,2520?
The HCF of 7445,2520 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 7445/164, 2520/3157?
Answer: GCF of Numerators as per given numbers 7445/164, 2520/3157 is
GCF of Numerators i.e. for 7445,2520 is 5
LCM of denominators i.e. for 164,3157 is 12628.
Thus, GCF of Fractions is 5/12628.Finally, GCF of Fractions for 7445/164, 2520/3157 is 5/12628.