Highest Common Factor of 3587, 4338 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 3587, 4338 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3587, 4338 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 3587, 4338 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 3587, 4338 is 1.
HCF(3587, 4338) = 1
HCF of 3587, 4338 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3587, 4338 is 1.
Highest Common Factor of 3587,4338 is 1
Step 1: Since 4338 > 3587, we apply the division lemma to 4338 and 3587, to get
4338 = 3587 x 1 + 751
Step 2: Since the reminder 3587 ≠ 0, we apply division lemma to 751 and 3587, to get
3587 = 751 x 4 + 583
Step 3: We consider the new divisor 751 and the new remainder 583, and apply the division lemma to get
751 = 583 x 1 + 168
We consider the new divisor 583 and the new remainder 168,and apply the division lemma to get
583 = 168 x 3 + 79
We consider the new divisor 168 and the new remainder 79,and apply the division lemma to get
168 = 79 x 2 + 10
We consider the new divisor 79 and the new remainder 10,and apply the division lemma to get
79 = 10 x 7 + 9
We consider the new divisor 10 and the new remainder 9,and apply the division lemma to get
10 = 9 x 1 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3587 and 4338 is 1
Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(79,10) = HCF(168,79) = HCF(583,168) = HCF(751,583) = HCF(3587,751) = HCF(4338,3587) .
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Frequently Asked Questions on HCF of 3587, 4338 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 3587, 4338?
Answer: HCF of 3587, 4338 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3587, 4338 using Euclid's Algorithm?
Answer: For arbitrary numbers 3587, 4338 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.