Highest Common Factor of 8996, 3724 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 8996, 3724 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 8996, 3724 is 4 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 8996, 3724 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 8996, 3724 is 4.
HCF(8996, 3724) = 4
HCF of 8996, 3724 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8996, 3724 is 4.
Highest Common Factor of 8996,3724 is 4
Step 1: Since 8996 > 3724, we apply the division lemma to 8996 and 3724, to get
8996 = 3724 x 2 + 1548
Step 2: Since the reminder 3724 ≠ 0, we apply division lemma to 1548 and 3724, to get
3724 = 1548 x 2 + 628
Step 3: We consider the new divisor 1548 and the new remainder 628, and apply the division lemma to get
1548 = 628 x 2 + 292
We consider the new divisor 628 and the new remainder 292,and apply the division lemma to get
628 = 292 x 2 + 44
We consider the new divisor 292 and the new remainder 44,and apply the division lemma to get
292 = 44 x 6 + 28
We consider the new divisor 44 and the new remainder 28,and apply the division lemma to get
44 = 28 x 1 + 16
We consider the new divisor 28 and the new remainder 16,and apply the division lemma to get
28 = 16 x 1 + 12
We consider the new divisor 16 and the new remainder 12,and apply the division lemma to get
16 = 12 x 1 + 4
We consider the new divisor 12 and the new remainder 4,and apply the division lemma to get
12 = 4 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 8996 and 3724 is 4
Notice that 4 = HCF(12,4) = HCF(16,12) = HCF(28,16) = HCF(44,28) = HCF(292,44) = HCF(628,292) = HCF(1548,628) = HCF(3724,1548) = HCF(8996,3724) .
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Frequently Asked Questions on HCF of 8996, 3724 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 8996, 3724?
Answer: HCF of 8996, 3724 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8996, 3724 using Euclid's Algorithm?
Answer: For arbitrary numbers 8996, 3724 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.