Highest Common Factor of 495, 918, 338 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, 918, 338 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 495, 918, 338 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, 918, 338 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, 918, 338 is 1.
HCF(495, 918, 338) = 1
HCF of 495, 918, 338 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, 918, 338 is 1.
Highest Common Factor of 495,918,338 is 1
Step 1: Since 918 > 495, we apply the division lemma to 918 and 495, to get
918 = 495 x 1 + 423
Step 2: Since the reminder 495 ≠ 0, we apply division lemma to 423 and 495, to get
495 = 423 x 1 + 72
Step 3: We consider the new divisor 423 and the new remainder 72, and apply the division lemma to get
423 = 72 x 5 + 63
We consider the new divisor 72 and the new remainder 63,and apply the division lemma to get
72 = 63 x 1 + 9
We consider the new divisor 63 and the new remainder 9,and apply the division lemma to get
63 = 9 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 495 and 918 is 9
Notice that 9 = HCF(63,9) = HCF(72,63) = HCF(423,72) = HCF(495,423) = HCF(918,495) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 338 > 9, we apply the division lemma to 338 and 9, to get
338 = 9 x 37 + 5
Step 2: Since the reminder 9 ≠ 0, we apply division lemma to 5 and 9, to get
9 = 5 x 1 + 4
Step 3: We consider the new divisor 5 and the new remainder 4, and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1, and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9 and 338 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(338,9) .
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Frequently Asked Questions on HCF of 495, 918, 338 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, 918, 338?
Answer: HCF of 495, 918, 338 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 495, 918, 338 using Euclid's Algorithm?
Answer: For arbitrary numbers 495, 918, 338 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
