Highest Common Factor of 602, 38264 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 602, 38264 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 602, 38264 is 2 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 602, 38264 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 602, 38264 is 2.
HCF(602, 38264) = 2
HCF of 602, 38264 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 602, 38264 is 2.
Highest Common Factor of 602,38264 is 2
Step 1: Since 38264 > 602, we apply the division lemma to 38264 and 602, to get
38264 = 602 x 63 + 338
Step 2: Since the reminder 602 ≠ 0, we apply division lemma to 338 and 602, to get
602 = 338 x 1 + 264
Step 3: We consider the new divisor 338 and the new remainder 264, and apply the division lemma to get
338 = 264 x 1 + 74
We consider the new divisor 264 and the new remainder 74,and apply the division lemma to get
264 = 74 x 3 + 42
We consider the new divisor 74 and the new remainder 42,and apply the division lemma to get
74 = 42 x 1 + 32
We consider the new divisor 42 and the new remainder 32,and apply the division lemma to get
42 = 32 x 1 + 10
We consider the new divisor 32 and the new remainder 10,and apply the division lemma to get
32 = 10 x 3 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 602 and 38264 is 2
Notice that 2 = HCF(10,2) = HCF(32,10) = HCF(42,32) = HCF(74,42) = HCF(264,74) = HCF(338,264) = HCF(602,338) = HCF(38264,602) .
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Frequently Asked Questions on HCF of 602, 38264 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 602, 38264?
Answer: HCF of 602, 38264 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 602, 38264 using Euclid's Algorithm?
Answer: For arbitrary numbers 602, 38264 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
