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 607, 950, 471 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 607, 950, 471 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 607, 950, 471 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 607, 950, 471 is 1.
HCF(607, 950, 471) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 607, 950, 471 is 1.
Step 1: Since 950 > 607, we apply the division lemma to 950 and 607, to get
950 = 607 x 1 + 343
Step 2: Since the reminder 607 ≠ 0, we apply division lemma to 343 and 607, to get
607 = 343 x 1 + 264
Step 3: We consider the new divisor 343 and the new remainder 264, and apply the division lemma to get
343 = 264 x 1 + 79
We consider the new divisor 264 and the new remainder 79,and apply the division lemma to get
264 = 79 x 3 + 27
We consider the new divisor 79 and the new remainder 27,and apply the division lemma to get
79 = 27 x 2 + 25
We consider the new divisor 27 and the new remainder 25,and apply the division lemma to get
27 = 25 x 1 + 2
We consider the new divisor 25 and the new remainder 2,and apply the division lemma to get
25 = 2 x 12 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 607 and 950 is 1
Notice that 1 = HCF(2,1) = HCF(25,2) = HCF(27,25) = HCF(79,27) = HCF(264,79) = HCF(343,264) = HCF(607,343) = HCF(950,607) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 471 > 1, we apply the division lemma to 471 and 1, to get
471 = 1 x 471 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 471 is 1
Notice that 1 = HCF(471,1) .
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 607, 950, 471?
Answer: HCF of 607, 950, 471 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 607, 950, 471 using Euclid's Algorithm?
Answer: For arbitrary numbers 607, 950, 471 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.