Highest Common Factor of 5511, 807 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 5511, 807 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 5511, 807 is 3 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 5511, 807 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 5511, 807 is 3.
HCF(5511, 807) = 3
HCF of 5511, 807 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5511, 807 is 3.
Highest Common Factor of 5511,807 is 3
Step 1: Since 5511 > 807, we apply the division lemma to 5511 and 807, to get
5511 = 807 x 6 + 669
Step 2: Since the reminder 807 ≠ 0, we apply division lemma to 669 and 807, to get
807 = 669 x 1 + 138
Step 3: We consider the new divisor 669 and the new remainder 138, and apply the division lemma to get
669 = 138 x 4 + 117
We consider the new divisor 138 and the new remainder 117,and apply the division lemma to get
138 = 117 x 1 + 21
We consider the new divisor 117 and the new remainder 21,and apply the division lemma to get
117 = 21 x 5 + 12
We consider the new divisor 21 and the new remainder 12,and apply the division lemma to get
21 = 12 x 1 + 9
We consider the new divisor 12 and the new remainder 9,and apply the division lemma to get
12 = 9 x 1 + 3
We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get
9 = 3 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 5511 and 807 is 3
Notice that 3 = HCF(9,3) = HCF(12,9) = HCF(21,12) = HCF(117,21) = HCF(138,117) = HCF(669,138) = HCF(807,669) = HCF(5511,807) .
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Frequently Asked Questions on HCF of 5511, 807 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 5511, 807?
Answer: HCF of 5511, 807 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5511, 807 using Euclid's Algorithm?
Answer: For arbitrary numbers 5511, 807 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.