Highest Common Factor of 150, 6535 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 150, 6535 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 150, 6535 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 150, 6535 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 150, 6535 is 5.
HCF(150, 6535) = 5
HCF of 150, 6535 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 150, 6535 is 5.
Highest Common Factor of 150,6535 is 5
Step 1: Since 6535 > 150, we apply the division lemma to 6535 and 150, to get
6535 = 150 x 43 + 85
Step 2: Since the reminder 150 ≠ 0, we apply division lemma to 85 and 150, to get
150 = 85 x 1 + 65
Step 3: We consider the new divisor 85 and the new remainder 65, and apply the division lemma to get
85 = 65 x 1 + 20
We consider the new divisor 65 and the new remainder 20,and apply the division lemma to get
65 = 20 x 3 + 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 150 and 6535 is 5
Notice that 5 = HCF(20,5) = HCF(65,20) = HCF(85,65) = HCF(150,85) = HCF(6535,150) .
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Frequently Asked Questions on HCF of 150, 6535 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 150, 6535?
Answer: HCF of 150, 6535 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 150, 6535 using Euclid's Algorithm?
Answer: For arbitrary numbers 150, 6535 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.