Highest Common Factor of 4674, 6096, 94704 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 4674, 6096, 94704 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 4674, 6096, 94704 is 6 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 4674, 6096, 94704 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 4674, 6096, 94704 is 6.
HCF(4674, 6096, 94704) = 6
HCF of 4674, 6096, 94704 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4674, 6096, 94704 is 6.
Highest Common Factor of 4674,6096,94704 is 6
Step 1: Since 6096 > 4674, we apply the division lemma to 6096 and 4674, to get
6096 = 4674 x 1 + 1422
Step 2: Since the reminder 4674 ≠ 0, we apply division lemma to 1422 and 4674, to get
4674 = 1422 x 3 + 408
Step 3: We consider the new divisor 1422 and the new remainder 408, and apply the division lemma to get
1422 = 408 x 3 + 198
We consider the new divisor 408 and the new remainder 198,and apply the division lemma to get
408 = 198 x 2 + 12
We consider the new divisor 198 and the new remainder 12,and apply the division lemma to get
198 = 12 x 16 + 6
We consider the new divisor 12 and the new remainder 6,and apply the division lemma to get
12 = 6 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 4674 and 6096 is 6
Notice that 6 = HCF(12,6) = HCF(198,12) = HCF(408,198) = HCF(1422,408) = HCF(4674,1422) = HCF(6096,4674) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 94704 > 6, we apply the division lemma to 94704 and 6, to get
94704 = 6 x 15784 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 6 and 94704 is 6
Notice that 6 = HCF(94704,6) .
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Frequently Asked Questions on HCF of 4674, 6096, 94704 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 4674, 6096, 94704?
Answer: HCF of 4674, 6096, 94704 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4674, 6096, 94704 using Euclid's Algorithm?
Answer: For arbitrary numbers 4674, 6096, 94704 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.