Highest Common Factor of 992, 4699, 6329 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 992, 4699, 6329 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 992, 4699, 6329 is 1 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 992, 4699, 6329 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 992, 4699, 6329 is 1.
HCF(992, 4699, 6329) = 1
HCF of 992, 4699, 6329 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 992, 4699, 6329 is 1.
Highest Common Factor of 992,4699,6329 is 1
Step 1: Since 4699 > 992, we apply the division lemma to 4699 and 992, to get
4699 = 992 x 4 + 731
Step 2: Since the reminder 992 ≠ 0, we apply division lemma to 731 and 992, to get
992 = 731 x 1 + 261
Step 3: We consider the new divisor 731 and the new remainder 261, and apply the division lemma to get
731 = 261 x 2 + 209
We consider the new divisor 261 and the new remainder 209,and apply the division lemma to get
261 = 209 x 1 + 52
We consider the new divisor 209 and the new remainder 52,and apply the division lemma to get
209 = 52 x 4 + 1
We consider the new divisor 52 and the new remainder 1,and apply the division lemma to get
52 = 1 x 52 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 992 and 4699 is 1
Notice that 1 = HCF(52,1) = HCF(209,52) = HCF(261,209) = HCF(731,261) = HCF(992,731) = HCF(4699,992) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 6329 > 1, we apply the division lemma to 6329 and 1, to get
6329 = 1 x 6329 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 6329 is 1
Notice that 1 = HCF(6329,1) .
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Frequently Asked Questions on HCF of 992, 4699, 6329 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 992, 4699, 6329?
Answer: HCF of 992, 4699, 6329 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 992, 4699, 6329 using Euclid's Algorithm?
Answer: For arbitrary numbers 992, 4699, 6329 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.