Highest Common Factor of 4769, 1264 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 4769, 1264 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4769, 1264 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 4769, 1264 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 4769, 1264 is 1.
HCF(4769, 1264) = 1
HCF of 4769, 1264 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4769, 1264 is 1.
Highest Common Factor of 4769,1264 is 1
Step 1: Since 4769 > 1264, we apply the division lemma to 4769 and 1264, to get
4769 = 1264 x 3 + 977
Step 2: Since the reminder 1264 ≠ 0, we apply division lemma to 977 and 1264, to get
1264 = 977 x 1 + 287
Step 3: We consider the new divisor 977 and the new remainder 287, and apply the division lemma to get
977 = 287 x 3 + 116
We consider the new divisor 287 and the new remainder 116,and apply the division lemma to get
287 = 116 x 2 + 55
We consider the new divisor 116 and the new remainder 55,and apply the division lemma to get
116 = 55 x 2 + 6
We consider the new divisor 55 and the new remainder 6,and apply the division lemma to get
55 = 6 x 9 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4769 and 1264 is 1
Notice that 1 = HCF(6,1) = HCF(55,6) = HCF(116,55) = HCF(287,116) = HCF(977,287) = HCF(1264,977) = HCF(4769,1264) .
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Frequently Asked Questions on HCF of 4769, 1264 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 4769, 1264?
Answer: HCF of 4769, 1264 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4769, 1264 using Euclid's Algorithm?
Answer: For arbitrary numbers 4769, 1264 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.