Highest Common Factor of 950, 625, 427, 405 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 950, 625, 427, 405 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 950, 625, 427, 405 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 950, 625, 427, 405 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 950, 625, 427, 405 is 1.
HCF(950, 625, 427, 405) = 1
HCF of 950, 625, 427, 405 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 950, 625, 427, 405 is 1.
Highest Common Factor of 950,625,427,405 is 1
Step 1: Since 950 > 625, we apply the division lemma to 950 and 625, to get
950 = 625 x 1 + 325
Step 2: Since the reminder 625 ≠ 0, we apply division lemma to 325 and 625, to get
625 = 325 x 1 + 300
Step 3: We consider the new divisor 325 and the new remainder 300, and apply the division lemma to get
325 = 300 x 1 + 25
We consider the new divisor 300 and the new remainder 25, and apply the division lemma to get
300 = 25 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 25, the HCF of 950 and 625 is 25
Notice that 25 = HCF(300,25) = HCF(325,300) = HCF(625,325) = HCF(950,625) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 427 > 25, we apply the division lemma to 427 and 25, to get
427 = 25 x 17 + 2
Step 2: Since the reminder 25 ≠ 0, we apply division lemma to 2 and 25, to get
25 = 2 x 12 + 1
Step 3: 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 25 and 427 is 1
Notice that 1 = HCF(2,1) = HCF(25,2) = HCF(427,25) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 405 > 1, we apply the division lemma to 405 and 1, to get
405 = 1 x 405 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 405 is 1
Notice that 1 = HCF(405,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 950, 625, 427, 405 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 950, 625, 427, 405?
Answer: HCF of 950, 625, 427, 405 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 950, 625, 427, 405 using Euclid's Algorithm?
Answer: For arbitrary numbers 950, 625, 427, 405 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.