Highest Common Factor of 150, 6995, 4095 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, 6995, 4095 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 150, 6995, 4095 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, 6995, 4095 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, 6995, 4095 is 5.
HCF(150, 6995, 4095) = 5
HCF of 150, 6995, 4095 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, 6995, 4095 is 5.
Highest Common Factor of 150,6995,4095 is 5
Step 1: Since 6995 > 150, we apply the division lemma to 6995 and 150, to get
6995 = 150 x 46 + 95
Step 2: Since the reminder 150 ≠ 0, we apply division lemma to 95 and 150, to get
150 = 95 x 1 + 55
Step 3: We consider the new divisor 95 and the new remainder 55, and apply the division lemma to get
95 = 55 x 1 + 40
We consider the new divisor 55 and the new remainder 40,and apply the division lemma to get
55 = 40 x 1 + 15
We consider the new divisor 40 and the new remainder 15,and apply the division lemma to get
40 = 15 x 2 + 10
We consider the new divisor 15 and the new remainder 10,and apply the division lemma to get
15 = 10 x 1 + 5
We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get
10 = 5 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 150 and 6995 is 5
Notice that 5 = HCF(10,5) = HCF(15,10) = HCF(40,15) = HCF(55,40) = HCF(95,55) = HCF(150,95) = HCF(6995,150) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 4095 > 5, we apply the division lemma to 4095 and 5, to get
4095 = 5 x 819 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 5 and 4095 is 5
Notice that 5 = HCF(4095,5) .
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Frequently Asked Questions on HCF of 150, 6995, 4095 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, 6995, 4095?
Answer: HCF of 150, 6995, 4095 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 150, 6995, 4095 using Euclid's Algorithm?
Answer: For arbitrary numbers 150, 6995, 4095 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.