Highest Common Factor of 638, 275, 66 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 638, 275, 66 i.e. 11 the largest integer that leaves a remainder zero for all numbers.
HCF of 638, 275, 66 is 11 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 638, 275, 66 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 638, 275, 66 is 11.
HCF(638, 275, 66) = 11
HCF of 638, 275, 66 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 638, 275, 66 is 11.
Highest Common Factor of 638,275,66 is 11
Step 1: Since 638 > 275, we apply the division lemma to 638 and 275, to get
638 = 275 x 2 + 88
Step 2: Since the reminder 275 ≠ 0, we apply division lemma to 88 and 275, to get
275 = 88 x 3 + 11
Step 3: We consider the new divisor 88 and the new remainder 11, and apply the division lemma to get
88 = 11 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 11, the HCF of 638 and 275 is 11
Notice that 11 = HCF(88,11) = HCF(275,88) = HCF(638,275) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 66 > 11, we apply the division lemma to 66 and 11, to get
66 = 11 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 11, the HCF of 11 and 66 is 11
Notice that 11 = HCF(66,11) .
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Frequently Asked Questions on HCF of 638, 275, 66 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 638, 275, 66?
Answer: HCF of 638, 275, 66 is 11 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 638, 275, 66 using Euclid's Algorithm?
Answer: For arbitrary numbers 638, 275, 66 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.