Highest Common Factor of 380, 9604 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 380, 9604 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 380, 9604 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 380, 9604 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 380, 9604 is 4.
HCF(380, 9604) = 4
HCF of 380, 9604 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 380, 9604 is 4.
Highest Common Factor of 380,9604 is 4
Step 1: Since 9604 > 380, we apply the division lemma to 9604 and 380, to get
9604 = 380 x 25 + 104
Step 2: Since the reminder 380 ≠ 0, we apply division lemma to 104 and 380, to get
380 = 104 x 3 + 68
Step 3: We consider the new divisor 104 and the new remainder 68, and apply the division lemma to get
104 = 68 x 1 + 36
We consider the new divisor 68 and the new remainder 36,and apply the division lemma to get
68 = 36 x 1 + 32
We consider the new divisor 36 and the new remainder 32,and apply the division lemma to get
36 = 32 x 1 + 4
We consider the new divisor 32 and the new remainder 4,and apply the division lemma to get
32 = 4 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 380 and 9604 is 4
Notice that 4 = HCF(32,4) = HCF(36,32) = HCF(68,36) = HCF(104,68) = HCF(380,104) = HCF(9604,380) .
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Frequently Asked Questions on HCF of 380, 9604 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 380, 9604?
Answer: HCF of 380, 9604 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 380, 9604 using Euclid's Algorithm?
Answer: For arbitrary numbers 380, 9604 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
