Highest Common Factor of 5192, 9844 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 5192, 9844 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 5192, 9844 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 5192, 9844 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 5192, 9844 is 4.
HCF(5192, 9844) = 4
HCF of 5192, 9844 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5192, 9844 is 4.
Highest Common Factor of 5192,9844 is 4
Step 1: Since 9844 > 5192, we apply the division lemma to 9844 and 5192, to get
9844 = 5192 x 1 + 4652
Step 2: Since the reminder 5192 ≠ 0, we apply division lemma to 4652 and 5192, to get
5192 = 4652 x 1 + 540
Step 3: We consider the new divisor 4652 and the new remainder 540, and apply the division lemma to get
4652 = 540 x 8 + 332
We consider the new divisor 540 and the new remainder 332,and apply the division lemma to get
540 = 332 x 1 + 208
We consider the new divisor 332 and the new remainder 208,and apply the division lemma to get
332 = 208 x 1 + 124
We consider the new divisor 208 and the new remainder 124,and apply the division lemma to get
208 = 124 x 1 + 84
We consider the new divisor 124 and the new remainder 84,and apply the division lemma to get
124 = 84 x 1 + 40
We consider the new divisor 84 and the new remainder 40,and apply the division lemma to get
84 = 40 x 2 + 4
We consider the new divisor 40 and the new remainder 4,and apply the division lemma to get
40 = 4 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 5192 and 9844 is 4
Notice that 4 = HCF(40,4) = HCF(84,40) = HCF(124,84) = HCF(208,124) = HCF(332,208) = HCF(540,332) = HCF(4652,540) = HCF(5192,4652) = HCF(9844,5192) .
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Frequently Asked Questions on HCF of 5192, 9844 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 5192, 9844?
Answer: HCF of 5192, 9844 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5192, 9844 using Euclid's Algorithm?
Answer: For arbitrary numbers 5192, 9844 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.