Highest Common Factor of 3364, 4359 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 3364, 4359 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3364, 4359 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 3364, 4359 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 3364, 4359 is 1.
HCF(3364, 4359) = 1
HCF of 3364, 4359 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3364, 4359 is 1.
Highest Common Factor of 3364,4359 is 1
Step 1: Since 4359 > 3364, we apply the division lemma to 4359 and 3364, to get
4359 = 3364 x 1 + 995
Step 2: Since the reminder 3364 ≠ 0, we apply division lemma to 995 and 3364, to get
3364 = 995 x 3 + 379
Step 3: We consider the new divisor 995 and the new remainder 379, and apply the division lemma to get
995 = 379 x 2 + 237
We consider the new divisor 379 and the new remainder 237,and apply the division lemma to get
379 = 237 x 1 + 142
We consider the new divisor 237 and the new remainder 142,and apply the division lemma to get
237 = 142 x 1 + 95
We consider the new divisor 142 and the new remainder 95,and apply the division lemma to get
142 = 95 x 1 + 47
We consider the new divisor 95 and the new remainder 47,and apply the division lemma to get
95 = 47 x 2 + 1
We consider the new divisor 47 and the new remainder 1,and apply the division lemma to get
47 = 1 x 47 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3364 and 4359 is 1
Notice that 1 = HCF(47,1) = HCF(95,47) = HCF(142,95) = HCF(237,142) = HCF(379,237) = HCF(995,379) = HCF(3364,995) = HCF(4359,3364) .
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Frequently Asked Questions on HCF of 3364, 4359 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 3364, 4359?
Answer: HCF of 3364, 4359 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3364, 4359 using Euclid's Algorithm?
Answer: For arbitrary numbers 3364, 4359 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
