Highest Common Factor of 4104, 9612 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 4104, 9612 i.e. 108 the largest integer that leaves a remainder zero for all numbers.
HCF of 4104, 9612 is 108 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 4104, 9612 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 4104, 9612 is 108.
HCF(4104, 9612) = 108
HCF of 4104, 9612 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4104, 9612 is 108.
Highest Common Factor of 4104,9612 is 108
Step 1: Since 9612 > 4104, we apply the division lemma to 9612 and 4104, to get
9612 = 4104 x 2 + 1404
Step 2: Since the reminder 4104 ≠ 0, we apply division lemma to 1404 and 4104, to get
4104 = 1404 x 2 + 1296
Step 3: We consider the new divisor 1404 and the new remainder 1296, and apply the division lemma to get
1404 = 1296 x 1 + 108
We consider the new divisor 1296 and the new remainder 108, and apply the division lemma to get
1296 = 108 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 108, the HCF of 4104 and 9612 is 108
Notice that 108 = HCF(1296,108) = HCF(1404,1296) = HCF(4104,1404) = HCF(9612,4104) .
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Frequently Asked Questions on HCF of 4104, 9612 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 4104, 9612?
Answer: HCF of 4104, 9612 is 108 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4104, 9612 using Euclid's Algorithm?
Answer: For arbitrary numbers 4104, 9612 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
