Highest Common Factor of 9572, 6104 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 9572, 6104 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 9572, 6104 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 9572, 6104 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 9572, 6104 is 4.
HCF(9572, 6104) = 4
HCF of 9572, 6104 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9572, 6104 is 4.
Highest Common Factor of 9572,6104 is 4
Step 1: Since 9572 > 6104, we apply the division lemma to 9572 and 6104, to get
9572 = 6104 x 1 + 3468
Step 2: Since the reminder 6104 ≠ 0, we apply division lemma to 3468 and 6104, to get
6104 = 3468 x 1 + 2636
Step 3: We consider the new divisor 3468 and the new remainder 2636, and apply the division lemma to get
3468 = 2636 x 1 + 832
We consider the new divisor 2636 and the new remainder 832,and apply the division lemma to get
2636 = 832 x 3 + 140
We consider the new divisor 832 and the new remainder 140,and apply the division lemma to get
832 = 140 x 5 + 132
We consider the new divisor 140 and the new remainder 132,and apply the division lemma to get
140 = 132 x 1 + 8
We consider the new divisor 132 and the new remainder 8,and apply the division lemma to get
132 = 8 x 16 + 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 9572 and 6104 is 4
Notice that 4 = HCF(8,4) = HCF(132,8) = HCF(140,132) = HCF(832,140) = HCF(2636,832) = HCF(3468,2636) = HCF(6104,3468) = HCF(9572,6104) .
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Frequently Asked Questions on HCF of 9572, 6104 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 9572, 6104?
Answer: HCF of 9572, 6104 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9572, 6104 using Euclid's Algorithm?
Answer: For arbitrary numbers 9572, 6104 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.