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 2783, 5517 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2783, 5517 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 2783, 5517 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 2783, 5517 is 1.
HCF(2783, 5517) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2783, 5517 is 1.
Step 1: Since 5517 > 2783, we apply the division lemma to 5517 and 2783, to get
5517 = 2783 x 1 + 2734
Step 2: Since the reminder 2783 ≠ 0, we apply division lemma to 2734 and 2783, to get
2783 = 2734 x 1 + 49
Step 3: We consider the new divisor 2734 and the new remainder 49, and apply the division lemma to get
2734 = 49 x 55 + 39
We consider the new divisor 49 and the new remainder 39,and apply the division lemma to get
49 = 39 x 1 + 10
We consider the new divisor 39 and the new remainder 10,and apply the division lemma to get
39 = 10 x 3 + 9
We consider the new divisor 10 and the new remainder 9,and apply the division lemma to get
10 = 9 x 1 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2783 and 5517 is 1
Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(39,10) = HCF(49,39) = HCF(2734,49) = HCF(2783,2734) = HCF(5517,2783) .
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 2783, 5517?
Answer: HCF of 2783, 5517 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2783, 5517 using Euclid's Algorithm?
Answer: For arbitrary numbers 2783, 5517 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.