Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 7335, 4413 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 7335, 4413 is 3 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 7335, 4413 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 7335, 4413 is 3.
HCF(7335, 4413) = 3
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7335, 4413 is 3.
Step 1: Since 7335 > 4413, we apply the division lemma to 7335 and 4413, to get
7335 = 4413 x 1 + 2922
Step 2: Since the reminder 4413 ≠ 0, we apply division lemma to 2922 and 4413, to get
4413 = 2922 x 1 + 1491
Step 3: We consider the new divisor 2922 and the new remainder 1491, and apply the division lemma to get
2922 = 1491 x 1 + 1431
We consider the new divisor 1491 and the new remainder 1431,and apply the division lemma to get
1491 = 1431 x 1 + 60
We consider the new divisor 1431 and the new remainder 60,and apply the division lemma to get
1431 = 60 x 23 + 51
We consider the new divisor 60 and the new remainder 51,and apply the division lemma to get
60 = 51 x 1 + 9
We consider the new divisor 51 and the new remainder 9,and apply the division lemma to get
51 = 9 x 5 + 6
We consider the new divisor 9 and the new remainder 6,and apply the division lemma to get
9 = 6 x 1 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 7335 and 4413 is 3
Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(51,9) = HCF(60,51) = HCF(1431,60) = HCF(1491,1431) = HCF(2922,1491) = HCF(4413,2922) = HCF(7335,4413) .
Here are some samples of HCF using Euclid's Algorithm calculations.
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 7335, 4413?
Answer: HCF of 7335, 4413 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7335, 4413 using Euclid's Algorithm?
Answer: For arbitrary numbers 7335, 4413 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.