Highest Common Factor of 5635, 9220 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 5635, 9220 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 5635, 9220 is 5 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 5635, 9220 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 5635, 9220 is 5.
HCF(5635, 9220) = 5
HCF of 5635, 9220 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5635, 9220 is 5.
Highest Common Factor of 5635,9220 is 5
Step 1: Since 9220 > 5635, we apply the division lemma to 9220 and 5635, to get
9220 = 5635 x 1 + 3585
Step 2: Since the reminder 5635 ≠ 0, we apply division lemma to 3585 and 5635, to get
5635 = 3585 x 1 + 2050
Step 3: We consider the new divisor 3585 and the new remainder 2050, and apply the division lemma to get
3585 = 2050 x 1 + 1535
We consider the new divisor 2050 and the new remainder 1535,and apply the division lemma to get
2050 = 1535 x 1 + 515
We consider the new divisor 1535 and the new remainder 515,and apply the division lemma to get
1535 = 515 x 2 + 505
We consider the new divisor 515 and the new remainder 505,and apply the division lemma to get
515 = 505 x 1 + 10
We consider the new divisor 505 and the new remainder 10,and apply the division lemma to get
505 = 10 x 50 + 5
We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get
10 = 5 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 5635 and 9220 is 5
Notice that 5 = HCF(10,5) = HCF(505,10) = HCF(515,505) = HCF(1535,515) = HCF(2050,1535) = HCF(3585,2050) = HCF(5635,3585) = HCF(9220,5635) .
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Frequently Asked Questions on HCF of 5635, 9220 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 5635, 9220?
Answer: HCF of 5635, 9220 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5635, 9220 using Euclid's Algorithm?
Answer: For arbitrary numbers 5635, 9220 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.