Highest Common Factor of 495, 814, 672 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 495, 814, 672 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 495, 814, 672 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 495, 814, 672 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 495, 814, 672 is 1.
HCF(495, 814, 672) = 1
HCF of 495, 814, 672 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 495, 814, 672 is 1.
Highest Common Factor of 495,814,672 is 1
Step 1: Since 814 > 495, we apply the division lemma to 814 and 495, to get
814 = 495 x 1 + 319
Step 2: Since the reminder 495 ≠ 0, we apply division lemma to 319 and 495, to get
495 = 319 x 1 + 176
Step 3: We consider the new divisor 319 and the new remainder 176, and apply the division lemma to get
319 = 176 x 1 + 143
We consider the new divisor 176 and the new remainder 143,and apply the division lemma to get
176 = 143 x 1 + 33
We consider the new divisor 143 and the new remainder 33,and apply the division lemma to get
143 = 33 x 4 + 11
We consider the new divisor 33 and the new remainder 11,and apply the division lemma to get
33 = 11 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 11, the HCF of 495 and 814 is 11
Notice that 11 = HCF(33,11) = HCF(143,33) = HCF(176,143) = HCF(319,176) = HCF(495,319) = HCF(814,495) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 672 > 11, we apply the division lemma to 672 and 11, to get
672 = 11 x 61 + 1
Step 2: Since the reminder 11 ≠ 0, we apply division lemma to 1 and 11, to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 11 and 672 is 1
Notice that 1 = HCF(11,1) = HCF(672,11) .
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Frequently Asked Questions on HCF of 495, 814, 672 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 495, 814, 672?
Answer: HCF of 495, 814, 672 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 495, 814, 672 using Euclid's Algorithm?
Answer: For arbitrary numbers 495, 814, 672 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
