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 662, 937, 230 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 662, 937, 230 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 662, 937, 230 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 662, 937, 230 is 1.
HCF(662, 937, 230) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 662, 937, 230 is 1.
Step 1: Since 937 > 662, we apply the division lemma to 937 and 662, to get
937 = 662 x 1 + 275
Step 2: Since the reminder 662 ≠ 0, we apply division lemma to 275 and 662, to get
662 = 275 x 2 + 112
Step 3: We consider the new divisor 275 and the new remainder 112, and apply the division lemma to get
275 = 112 x 2 + 51
We consider the new divisor 112 and the new remainder 51,and apply the division lemma to get
112 = 51 x 2 + 10
We consider the new divisor 51 and the new remainder 10,and apply the division lemma to get
51 = 10 x 5 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 662 and 937 is 1
Notice that 1 = HCF(10,1) = HCF(51,10) = HCF(112,51) = HCF(275,112) = HCF(662,275) = HCF(937,662) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 230 > 1, we apply the division lemma to 230 and 1, to get
230 = 1 x 230 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 230 is 1
Notice that 1 = HCF(230,1) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 662, 937, 230?
Answer: HCF of 662, 937, 230 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 662, 937, 230 using Euclid's Algorithm?
Answer: For arbitrary numbers 662, 937, 230 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.