Highest Common Factor of 3748, 9568 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 3748, 9568 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 3748, 9568 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 3748, 9568 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 3748, 9568 is 4.
HCF(3748, 9568) = 4
HCF of 3748, 9568 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3748, 9568 is 4.
Highest Common Factor of 3748,9568 is 4
Step 1: Since 9568 > 3748, we apply the division lemma to 9568 and 3748, to get
9568 = 3748 x 2 + 2072
Step 2: Since the reminder 3748 ≠ 0, we apply division lemma to 2072 and 3748, to get
3748 = 2072 x 1 + 1676
Step 3: We consider the new divisor 2072 and the new remainder 1676, and apply the division lemma to get
2072 = 1676 x 1 + 396
We consider the new divisor 1676 and the new remainder 396,and apply the division lemma to get
1676 = 396 x 4 + 92
We consider the new divisor 396 and the new remainder 92,and apply the division lemma to get
396 = 92 x 4 + 28
We consider the new divisor 92 and the new remainder 28,and apply the division lemma to get
92 = 28 x 3 + 8
We consider the new divisor 28 and the new remainder 8,and apply the division lemma to get
28 = 8 x 3 + 4
We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get
8 = 4 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 3748 and 9568 is 4
Notice that 4 = HCF(8,4) = HCF(28,8) = HCF(92,28) = HCF(396,92) = HCF(1676,396) = HCF(2072,1676) = HCF(3748,2072) = HCF(9568,3748) .
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Frequently Asked Questions on HCF of 3748, 9568 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 3748, 9568?
Answer: HCF of 3748, 9568 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3748, 9568 using Euclid's Algorithm?
Answer: For arbitrary numbers 3748, 9568 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.