Highest Common Factor of 950, 5965, 6445 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, 5965, 6445 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 950, 5965, 6445 is 5 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, 5965, 6445 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, 5965, 6445 is 5.
HCF(950, 5965, 6445) = 5
HCF of 950, 5965, 6445 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, 5965, 6445 is 5.
Highest Common Factor of 950,5965,6445 is 5
Step 1: Since 5965 > 950, we apply the division lemma to 5965 and 950, to get
5965 = 950 x 6 + 265
Step 2: Since the reminder 950 ≠ 0, we apply division lemma to 265 and 950, to get
950 = 265 x 3 + 155
Step 3: We consider the new divisor 265 and the new remainder 155, and apply the division lemma to get
265 = 155 x 1 + 110
We consider the new divisor 155 and the new remainder 110,and apply the division lemma to get
155 = 110 x 1 + 45
We consider the new divisor 110 and the new remainder 45,and apply the division lemma to get
110 = 45 x 2 + 20
We consider the new divisor 45 and the new remainder 20,and apply the division lemma to get
45 = 20 x 2 + 5
We consider the new divisor 20 and the new remainder 5,and apply the division lemma to get
20 = 5 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 950 and 5965 is 5
Notice that 5 = HCF(20,5) = HCF(45,20) = HCF(110,45) = HCF(155,110) = HCF(265,155) = HCF(950,265) = HCF(5965,950) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 6445 > 5, we apply the division lemma to 6445 and 5, to get
6445 = 5 x 1289 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 5 and 6445 is 5
Notice that 5 = HCF(6445,5) .
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Frequently Asked Questions on HCF of 950, 5965, 6445 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, 5965, 6445?
Answer: HCF of 950, 5965, 6445 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 950, 5965, 6445 using Euclid's Algorithm?
Answer: For arbitrary numbers 950, 5965, 6445 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.