Highest Common Factor of 4170, 7433 using Euclid's algorithm
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 4170, 7433 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4170, 7433 is 1 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 4170, 7433 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 4170, 7433 is 1.
HCF(4170, 7433) = 1
HCF of 4170, 7433 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4170, 7433 is 1.
Highest Common Factor of 4170,7433 is 1
Step 1: Since 7433 > 4170, we apply the division lemma to 7433 and 4170, to get
7433 = 4170 x 1 + 3263
Step 2: Since the reminder 4170 ≠ 0, we apply division lemma to 3263 and 4170, to get
4170 = 3263 x 1 + 907
Step 3: We consider the new divisor 3263 and the new remainder 907, and apply the division lemma to get
3263 = 907 x 3 + 542
We consider the new divisor 907 and the new remainder 542,and apply the division lemma to get
907 = 542 x 1 + 365
We consider the new divisor 542 and the new remainder 365,and apply the division lemma to get
542 = 365 x 1 + 177
We consider the new divisor 365 and the new remainder 177,and apply the division lemma to get
365 = 177 x 2 + 11
We consider the new divisor 177 and the new remainder 11,and apply the division lemma to get
177 = 11 x 16 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4170 and 7433 is 1
Notice that 1 = HCF(11,1) = HCF(177,11) = HCF(365,177) = HCF(542,365) = HCF(907,542) = HCF(3263,907) = HCF(4170,3263) = HCF(7433,4170) .
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Frequently Asked Questions on HCF of 4170, 7433 using Euclid's Algorithm
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 4170, 7433?
Answer: HCF of 4170, 7433 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4170, 7433 using Euclid's Algorithm?
Answer: For arbitrary numbers 4170, 7433 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.