Highest Common Factor of 5026, 9135 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 5026, 9135 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 5026, 9135 is 7 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 5026, 9135 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 5026, 9135 is 7.
HCF(5026, 9135) = 7
HCF of 5026, 9135 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5026, 9135 is 7.
Highest Common Factor of 5026,9135 is 7
Step 1: Since 9135 > 5026, we apply the division lemma to 9135 and 5026, to get
9135 = 5026 x 1 + 4109
Step 2: Since the reminder 5026 ≠ 0, we apply division lemma to 4109 and 5026, to get
5026 = 4109 x 1 + 917
Step 3: We consider the new divisor 4109 and the new remainder 917, and apply the division lemma to get
4109 = 917 x 4 + 441
We consider the new divisor 917 and the new remainder 441,and apply the division lemma to get
917 = 441 x 2 + 35
We consider the new divisor 441 and the new remainder 35,and apply the division lemma to get
441 = 35 x 12 + 21
We consider the new divisor 35 and the new remainder 21,and apply the division lemma to get
35 = 21 x 1 + 14
We consider the new divisor 21 and the new remainder 14,and apply the division lemma to get
21 = 14 x 1 + 7
We consider the new divisor 14 and the new remainder 7,and apply the division lemma to get
14 = 7 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 5026 and 9135 is 7
Notice that 7 = HCF(14,7) = HCF(21,14) = HCF(35,21) = HCF(441,35) = HCF(917,441) = HCF(4109,917) = HCF(5026,4109) = HCF(9135,5026) .
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Frequently Asked Questions on HCF of 5026, 9135 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 5026, 9135?
Answer: HCF of 5026, 9135 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5026, 9135 using Euclid's Algorithm?
Answer: For arbitrary numbers 5026, 9135 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
