Highest Common Factor of 1336, 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 1336, 9596 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 1336, 9596 is 4 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 1336, 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 1336, 9596 is 4.
HCF(1336, 9596) = 4
HCF of 1336, 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 1336, 9596 is 4.
Highest Common Factor of 1336,9596 is 4
Step 1: Since 9596 > 1336, we apply the division lemma to 9596 and 1336, to get
9596 = 1336 x 7 + 244
Step 2: Since the reminder 1336 ≠ 0, we apply division lemma to 244 and 1336, to get
1336 = 244 x 5 + 116
Step 3: We consider the new divisor 244 and the new remainder 116, and apply the division lemma to get
244 = 116 x 2 + 12
We consider the new divisor 116 and the new remainder 12,and apply the division lemma to get
116 = 12 x 9 + 8
We consider the new divisor 12 and the new remainder 8,and apply the division lemma to get
12 = 8 x 1 + 4
We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get
8 = 4 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 1336 and 9596 is 4
Notice that 4 = HCF(8,4) = HCF(12,8) = HCF(116,12) = HCF(244,116) = HCF(1336,244) = HCF(9596,1336) .
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Frequently Asked Questions on HCF of 1336, 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 1336, 9596?
Answer: HCF of 1336, 9596 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1336, 9596 using Euclid's Algorithm?
Answer: For arbitrary numbers 1336, 9596 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.