Highest Common Factor of 5308, 9050 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 5308, 9050 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5308, 9050 is 2 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 5308, 9050 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 5308, 9050 is 2.
HCF(5308, 9050) = 2
HCF of 5308, 9050 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5308, 9050 is 2.
Highest Common Factor of 5308,9050 is 2
Step 1: Since 9050 > 5308, we apply the division lemma to 9050 and 5308, to get
9050 = 5308 x 1 + 3742
Step 2: Since the reminder 5308 ≠ 0, we apply division lemma to 3742 and 5308, to get
5308 = 3742 x 1 + 1566
Step 3: We consider the new divisor 3742 and the new remainder 1566, and apply the division lemma to get
3742 = 1566 x 2 + 610
We consider the new divisor 1566 and the new remainder 610,and apply the division lemma to get
1566 = 610 x 2 + 346
We consider the new divisor 610 and the new remainder 346,and apply the division lemma to get
610 = 346 x 1 + 264
We consider the new divisor 346 and the new remainder 264,and apply the division lemma to get
346 = 264 x 1 + 82
We consider the new divisor 264 and the new remainder 82,and apply the division lemma to get
264 = 82 x 3 + 18
We consider the new divisor 82 and the new remainder 18,and apply the division lemma to get
82 = 18 x 4 + 10
We consider the new divisor 18 and the new remainder 10,and apply the division lemma to get
18 = 10 x 1 + 8
We consider the new divisor 10 and the new remainder 8,and apply the division lemma to get
10 = 8 x 1 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5308 and 9050 is 2
Notice that 2 = HCF(8,2) = HCF(10,8) = HCF(18,10) = HCF(82,18) = HCF(264,82) = HCF(346,264) = HCF(610,346) = HCF(1566,610) = HCF(3742,1566) = HCF(5308,3742) = HCF(9050,5308) .
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Frequently Asked Questions on HCF of 5308, 9050 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 5308, 9050?
Answer: HCF of 5308, 9050 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5308, 9050 using Euclid's Algorithm?
Answer: For arbitrary numbers 5308, 9050 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.