Highest Common Factor of 7767, 1063, 45662 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 7767, 1063, 45662 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7767, 1063, 45662 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 7767, 1063, 45662 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 7767, 1063, 45662 is 1.
HCF(7767, 1063, 45662) = 1
HCF of 7767, 1063, 45662 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7767, 1063, 45662 is 1.
Highest Common Factor of 7767,1063,45662 is 1
Step 1: Since 7767 > 1063, we apply the division lemma to 7767 and 1063, to get
7767 = 1063 x 7 + 326
Step 2: Since the reminder 1063 ≠ 0, we apply division lemma to 326 and 1063, to get
1063 = 326 x 3 + 85
Step 3: We consider the new divisor 326 and the new remainder 85, and apply the division lemma to get
326 = 85 x 3 + 71
We consider the new divisor 85 and the new remainder 71,and apply the division lemma to get
85 = 71 x 1 + 14
We consider the new divisor 71 and the new remainder 14,and apply the division lemma to get
71 = 14 x 5 + 1
We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get
14 = 1 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7767 and 1063 is 1
Notice that 1 = HCF(14,1) = HCF(71,14) = HCF(85,71) = HCF(326,85) = HCF(1063,326) = HCF(7767,1063) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 45662 > 1, we apply the division lemma to 45662 and 1, to get
45662 = 1 x 45662 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 45662 is 1
Notice that 1 = HCF(45662,1) .
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Frequently Asked Questions on HCF of 7767, 1063, 45662 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 7767, 1063, 45662?
Answer: HCF of 7767, 1063, 45662 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7767, 1063, 45662 using Euclid's Algorithm?
Answer: For arbitrary numbers 7767, 1063, 45662 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.