Highest Common Factor of 999, 460, 768, 76 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 999, 460, 768, 76 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 999, 460, 768, 76 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 999, 460, 768, 76 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 999, 460, 768, 76 is 1.
HCF(999, 460, 768, 76) = 1
HCF of 999, 460, 768, 76 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 999, 460, 768, 76 is 1.
Highest Common Factor of 999,460,768,76 is 1
Step 1: Since 999 > 460, we apply the division lemma to 999 and 460, to get
999 = 460 x 2 + 79
Step 2: Since the reminder 460 ≠ 0, we apply division lemma to 79 and 460, to get
460 = 79 x 5 + 65
Step 3: We consider the new divisor 79 and the new remainder 65, and apply the division lemma to get
79 = 65 x 1 + 14
We consider the new divisor 65 and the new remainder 14,and apply the division lemma to get
65 = 14 x 4 + 9
We consider the new divisor 14 and the new remainder 9,and apply the division lemma to get
14 = 9 x 1 + 5
We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get
9 = 5 x 1 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 999 and 460 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(14,9) = HCF(65,14) = HCF(79,65) = HCF(460,79) = HCF(999,460) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 768 > 1, we apply the division lemma to 768 and 1, to get
768 = 1 x 768 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 768 is 1
Notice that 1 = HCF(768,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 76 > 1, we apply the division lemma to 76 and 1, to get
76 = 1 x 76 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 76 is 1
Notice that 1 = HCF(76,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 999, 460, 768, 76 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 999, 460, 768, 76?
Answer: HCF of 999, 460, 768, 76 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 999, 460, 768, 76 using Euclid's Algorithm?
Answer: For arbitrary numbers 999, 460, 768, 76 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.