Highest Common Factor of 7627, 2074, 55511 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 7627, 2074, 55511 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7627, 2074, 55511 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 7627, 2074, 55511 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 7627, 2074, 55511 is 1.
HCF(7627, 2074, 55511) = 1
HCF of 7627, 2074, 55511 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7627, 2074, 55511 is 1.
Highest Common Factor of 7627,2074,55511 is 1
Step 1: Since 7627 > 2074, we apply the division lemma to 7627 and 2074, to get
7627 = 2074 x 3 + 1405
Step 2: Since the reminder 2074 ≠ 0, we apply division lemma to 1405 and 2074, to get
2074 = 1405 x 1 + 669
Step 3: We consider the new divisor 1405 and the new remainder 669, and apply the division lemma to get
1405 = 669 x 2 + 67
We consider the new divisor 669 and the new remainder 67,and apply the division lemma to get
669 = 67 x 9 + 66
We consider the new divisor 67 and the new remainder 66,and apply the division lemma to get
67 = 66 x 1 + 1
We consider the new divisor 66 and the new remainder 1,and apply the division lemma to get
66 = 1 x 66 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7627 and 2074 is 1
Notice that 1 = HCF(66,1) = HCF(67,66) = HCF(669,67) = HCF(1405,669) = HCF(2074,1405) = HCF(7627,2074) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 55511 > 1, we apply the division lemma to 55511 and 1, to get
55511 = 1 x 55511 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 55511 is 1
Notice that 1 = HCF(55511,1) .
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Frequently Asked Questions on HCF of 7627, 2074, 55511 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 7627, 2074, 55511?
Answer: HCF of 7627, 2074, 55511 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7627, 2074, 55511 using Euclid's Algorithm?
Answer: For arbitrary numbers 7627, 2074, 55511 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.