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, 2837 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5192, 2837 is 1 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, 2837 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, 2837 is 1.
HCF(5192, 2837) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5192, 2837 is 1.
Step 1: Since 5192 > 2837, we apply the division lemma to 5192 and 2837, to get
5192 = 2837 x 1 + 2355
Step 2: Since the reminder 2837 ≠ 0, we apply division lemma to 2355 and 2837, to get
2837 = 2355 x 1 + 482
Step 3: We consider the new divisor 2355 and the new remainder 482, and apply the division lemma to get
2355 = 482 x 4 + 427
We consider the new divisor 482 and the new remainder 427,and apply the division lemma to get
482 = 427 x 1 + 55
We consider the new divisor 427 and the new remainder 55,and apply the division lemma to get
427 = 55 x 7 + 42
We consider the new divisor 55 and the new remainder 42,and apply the division lemma to get
55 = 42 x 1 + 13
We consider the new divisor 42 and the new remainder 13,and apply the division lemma to get
42 = 13 x 3 + 3
We consider the new divisor 13 and the new remainder 3,and apply the division lemma to get
13 = 3 x 4 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5192 and 2837 is 1
Notice that 1 = HCF(3,1) = HCF(13,3) = HCF(42,13) = HCF(55,42) = HCF(427,55) = HCF(482,427) = HCF(2355,482) = HCF(2837,2355) = HCF(5192,2837) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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, 2837?
Answer: HCF of 5192, 2837 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5192, 2837 using Euclid's Algorithm?
Answer: For arbitrary numbers 5192, 2837 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.