Highest Common Factor of 550, 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 550, 338 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 550, 338 is 2 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 550, 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 550, 338 is 2.
HCF(550, 338) = 2
HCF of 550, 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 550, 338 is 2.
Highest Common Factor of 550,338 is 2
Step 1: Since 550 > 338, we apply the division lemma to 550 and 338, to get
550 = 338 x 1 + 212
Step 2: Since the reminder 338 ≠ 0, we apply division lemma to 212 and 338, to get
338 = 212 x 1 + 126
Step 3: We consider the new divisor 212 and the new remainder 126, and apply the division lemma to get
212 = 126 x 1 + 86
We consider the new divisor 126 and the new remainder 86,and apply the division lemma to get
126 = 86 x 1 + 40
We consider the new divisor 86 and the new remainder 40,and apply the division lemma to get
86 = 40 x 2 + 6
We consider the new divisor 40 and the new remainder 6,and apply the division lemma to get
40 = 6 x 6 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 550 and 338 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(40,6) = HCF(86,40) = HCF(126,86) = HCF(212,126) = HCF(338,212) = HCF(550,338) .
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Frequently Asked Questions on HCF of 550, 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 550, 338?
Answer: HCF of 550, 338 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 550, 338 using Euclid's Algorithm?
Answer: For arbitrary numbers 550, 338 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.