Highest Common Factor of 5938, 9596 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 5938, 9596 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5938, 9596 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 5938, 9596 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 5938, 9596 is 2.
HCF(5938, 9596) = 2
HCF of 5938, 9596 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5938, 9596 is 2.
Highest Common Factor of 5938,9596 is 2
Step 1: Since 9596 > 5938, we apply the division lemma to 9596 and 5938, to get
9596 = 5938 x 1 + 3658
Step 2: Since the reminder 5938 ≠ 0, we apply division lemma to 3658 and 5938, to get
5938 = 3658 x 1 + 2280
Step 3: We consider the new divisor 3658 and the new remainder 2280, and apply the division lemma to get
3658 = 2280 x 1 + 1378
We consider the new divisor 2280 and the new remainder 1378,and apply the division lemma to get
2280 = 1378 x 1 + 902
We consider the new divisor 1378 and the new remainder 902,and apply the division lemma to get
1378 = 902 x 1 + 476
We consider the new divisor 902 and the new remainder 476,and apply the division lemma to get
902 = 476 x 1 + 426
We consider the new divisor 476 and the new remainder 426,and apply the division lemma to get
476 = 426 x 1 + 50
We consider the new divisor 426 and the new remainder 50,and apply the division lemma to get
426 = 50 x 8 + 26
We consider the new divisor 50 and the new remainder 26,and apply the division lemma to get
50 = 26 x 1 + 24
We consider the new divisor 26 and the new remainder 24,and apply the division lemma to get
26 = 24 x 1 + 2
We consider the new divisor 24 and the new remainder 2,and apply the division lemma to get
24 = 2 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5938 and 9596 is 2
Notice that 2 = HCF(24,2) = HCF(26,24) = HCF(50,26) = HCF(426,50) = HCF(476,426) = HCF(902,476) = HCF(1378,902) = HCF(2280,1378) = HCF(3658,2280) = HCF(5938,3658) = HCF(9596,5938) .
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Frequently Asked Questions on HCF of 5938, 9596 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 5938, 9596?
Answer: HCF of 5938, 9596 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5938, 9596 using Euclid's Algorithm?
Answer: For arbitrary numbers 5938, 9596 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.