Highest Common Factor of 127, 478, 544, 11 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 127, 478, 544, 11 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 127, 478, 544, 11 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 127, 478, 544, 11 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 127, 478, 544, 11 is 1.
HCF(127, 478, 544, 11) = 1
HCF of 127, 478, 544, 11 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 127, 478, 544, 11 is 1.
Highest Common Factor of 127,478,544,11 is 1
Step 1: Since 478 > 127, we apply the division lemma to 478 and 127, to get
478 = 127 x 3 + 97
Step 2: Since the reminder 127 ≠ 0, we apply division lemma to 97 and 127, to get
127 = 97 x 1 + 30
Step 3: We consider the new divisor 97 and the new remainder 30, and apply the division lemma to get
97 = 30 x 3 + 7
We consider the new divisor 30 and the new remainder 7,and apply the division lemma to get
30 = 7 x 4 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 127 and 478 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(30,7) = HCF(97,30) = HCF(127,97) = HCF(478,127) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 544 > 1, we apply the division lemma to 544 and 1, to get
544 = 1 x 544 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 544 is 1
Notice that 1 = HCF(544,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 11 > 1, we apply the division lemma to 11 and 1, 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 1 and 11 is 1
Notice that 1 = HCF(11,1) .
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Frequently Asked Questions on HCF of 127, 478, 544, 11 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 127, 478, 544, 11?
Answer: HCF of 127, 478, 544, 11 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 127, 478, 544, 11 using Euclid's Algorithm?
Answer: For arbitrary numbers 127, 478, 544, 11 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.