Highest Common Factor of 7435, 4218 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 7435, 4218 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7435, 4218 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 7435, 4218 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 7435, 4218 is 1.
HCF(7435, 4218) = 1
HCF of 7435, 4218 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7435, 4218 is 1.
Highest Common Factor of 7435,4218 is 1
Step 1: Since 7435 > 4218, we apply the division lemma to 7435 and 4218, to get
7435 = 4218 x 1 + 3217
Step 2: Since the reminder 4218 ≠ 0, we apply division lemma to 3217 and 4218, to get
4218 = 3217 x 1 + 1001
Step 3: We consider the new divisor 3217 and the new remainder 1001, and apply the division lemma to get
3217 = 1001 x 3 + 214
We consider the new divisor 1001 and the new remainder 214,and apply the division lemma to get
1001 = 214 x 4 + 145
We consider the new divisor 214 and the new remainder 145,and apply the division lemma to get
214 = 145 x 1 + 69
We consider the new divisor 145 and the new remainder 69,and apply the division lemma to get
145 = 69 x 2 + 7
We consider the new divisor 69 and the new remainder 7,and apply the division lemma to get
69 = 7 x 9 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7435 and 4218 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(69,7) = HCF(145,69) = HCF(214,145) = HCF(1001,214) = HCF(3217,1001) = HCF(4218,3217) = HCF(7435,4218) .
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Frequently Asked Questions on HCF of 7435, 4218 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 7435, 4218?
Answer: HCF of 7435, 4218 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7435, 4218 using Euclid's Algorithm?
Answer: For arbitrary numbers 7435, 4218 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.