Highest Common Factor of 827, 512, 149 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 827, 512, 149 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 827, 512, 149 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 827, 512, 149 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 827, 512, 149 is 1.
HCF(827, 512, 149) = 1
HCF of 827, 512, 149 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 827, 512, 149 is 1.
Highest Common Factor of 827,512,149 is 1
Step 1: Since 827 > 512, we apply the division lemma to 827 and 512, to get
827 = 512 x 1 + 315
Step 2: Since the reminder 512 ≠ 0, we apply division lemma to 315 and 512, to get
512 = 315 x 1 + 197
Step 3: We consider the new divisor 315 and the new remainder 197, and apply the division lemma to get
315 = 197 x 1 + 118
We consider the new divisor 197 and the new remainder 118,and apply the division lemma to get
197 = 118 x 1 + 79
We consider the new divisor 118 and the new remainder 79,and apply the division lemma to get
118 = 79 x 1 + 39
We consider the new divisor 79 and the new remainder 39,and apply the division lemma to get
79 = 39 x 2 + 1
We consider the new divisor 39 and the new remainder 1,and apply the division lemma to get
39 = 1 x 39 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 827 and 512 is 1
Notice that 1 = HCF(39,1) = HCF(79,39) = HCF(118,79) = HCF(197,118) = HCF(315,197) = HCF(512,315) = HCF(827,512) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 149 > 1, we apply the division lemma to 149 and 1, to get
149 = 1 x 149 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 149 is 1
Notice that 1 = HCF(149,1) .
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Frequently Asked Questions on HCF of 827, 512, 149 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 827, 512, 149?
Answer: HCF of 827, 512, 149 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 827, 512, 149 using Euclid's Algorithm?
Answer: For arbitrary numbers 827, 512, 149 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.