Highest Common Factor of 9212, 1604 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 9212, 1604 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 9212, 1604 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 9212, 1604 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 9212, 1604 is 4.
HCF(9212, 1604) = 4
HCF of 9212, 1604 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9212, 1604 is 4.
Highest Common Factor of 9212,1604 is 4
Step 1: Since 9212 > 1604, we apply the division lemma to 9212 and 1604, to get
9212 = 1604 x 5 + 1192
Step 2: Since the reminder 1604 ≠ 0, we apply division lemma to 1192 and 1604, to get
1604 = 1192 x 1 + 412
Step 3: We consider the new divisor 1192 and the new remainder 412, and apply the division lemma to get
1192 = 412 x 2 + 368
We consider the new divisor 412 and the new remainder 368,and apply the division lemma to get
412 = 368 x 1 + 44
We consider the new divisor 368 and the new remainder 44,and apply the division lemma to get
368 = 44 x 8 + 16
We consider the new divisor 44 and the new remainder 16,and apply the division lemma to get
44 = 16 x 2 + 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 9212 and 1604 is 4
Notice that 4 = HCF(12,4) = HCF(16,12) = HCF(44,16) = HCF(368,44) = HCF(412,368) = HCF(1192,412) = HCF(1604,1192) = HCF(9212,1604) .
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Frequently Asked Questions on HCF of 9212, 1604 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 9212, 1604?
Answer: HCF of 9212, 1604 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9212, 1604 using Euclid's Algorithm?
Answer: For arbitrary numbers 9212, 1604 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.