Highest Common Factor of 666, 296, 239, 620 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 666, 296, 239, 620 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 666, 296, 239, 620 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 666, 296, 239, 620 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 666, 296, 239, 620 is 1.
HCF(666, 296, 239, 620) = 1
HCF of 666, 296, 239, 620 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 666, 296, 239, 620 is 1.
Highest Common Factor of 666,296,239,620 is 1
Step 1: Since 666 > 296, we apply the division lemma to 666 and 296, to get
666 = 296 x 2 + 74
Step 2: Since the reminder 296 ≠ 0, we apply division lemma to 74 and 296, to get
296 = 74 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 74, the HCF of 666 and 296 is 74
Notice that 74 = HCF(296,74) = HCF(666,296) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 239 > 74, we apply the division lemma to 239 and 74, to get
239 = 74 x 3 + 17
Step 2: Since the reminder 74 ≠ 0, we apply division lemma to 17 and 74, to get
74 = 17 x 4 + 6
Step 3: We consider the new divisor 17 and the new remainder 6, and apply the division lemma to get
17 = 6 x 2 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 74 and 239 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(17,6) = HCF(74,17) = HCF(239,74) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 620 > 1, we apply the division lemma to 620 and 1, to get
620 = 1 x 620 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 620 is 1
Notice that 1 = HCF(620,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 666, 296, 239, 620 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 666, 296, 239, 620?
Answer: HCF of 666, 296, 239, 620 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 666, 296, 239, 620 using Euclid's Algorithm?
Answer: For arbitrary numbers 666, 296, 239, 620 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.