Highest Common Factor of 1791, 5124 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 1791, 5124 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 1791, 5124 is 3 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 1791, 5124 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 1791, 5124 is 3.
HCF(1791, 5124) = 3
HCF of 1791, 5124 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1791, 5124 is 3.
Highest Common Factor of 1791,5124 is 3
Step 1: Since 5124 > 1791, we apply the division lemma to 5124 and 1791, to get
5124 = 1791 x 2 + 1542
Step 2: Since the reminder 1791 ≠ 0, we apply division lemma to 1542 and 1791, to get
1791 = 1542 x 1 + 249
Step 3: We consider the new divisor 1542 and the new remainder 249, and apply the division lemma to get
1542 = 249 x 6 + 48
We consider the new divisor 249 and the new remainder 48,and apply the division lemma to get
249 = 48 x 5 + 9
We consider the new divisor 48 and the new remainder 9,and apply the division lemma to get
48 = 9 x 5 + 3
We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get
9 = 3 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 1791 and 5124 is 3
Notice that 3 = HCF(9,3) = HCF(48,9) = HCF(249,48) = HCF(1542,249) = HCF(1791,1542) = HCF(5124,1791) .
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Frequently Asked Questions on HCF of 1791, 5124 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 1791, 5124?
Answer: HCF of 1791, 5124 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1791, 5124 using Euclid's Algorithm?
Answer: For arbitrary numbers 1791, 5124 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
