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 5946, 2534 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5946, 2534 is 2 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 5946, 2534 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 5946, 2534 is 2.
HCF(5946, 2534) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5946, 2534 is 2.
Step 1: Since 5946 > 2534, we apply the division lemma to 5946 and 2534, to get
5946 = 2534 x 2 + 878
Step 2: Since the reminder 2534 ≠ 0, we apply division lemma to 878 and 2534, to get
2534 = 878 x 2 + 778
Step 3: We consider the new divisor 878 and the new remainder 778, and apply the division lemma to get
878 = 778 x 1 + 100
We consider the new divisor 778 and the new remainder 100,and apply the division lemma to get
778 = 100 x 7 + 78
We consider the new divisor 100 and the new remainder 78,and apply the division lemma to get
100 = 78 x 1 + 22
We consider the new divisor 78 and the new remainder 22,and apply the division lemma to get
78 = 22 x 3 + 12
We consider the new divisor 22 and the new remainder 12,and apply the division lemma to get
22 = 12 x 1 + 10
We consider the new divisor 12 and the new remainder 10,and apply the division lemma to get
12 = 10 x 1 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5946 and 2534 is 2
Notice that 2 = HCF(10,2) = HCF(12,10) = HCF(22,12) = HCF(78,22) = HCF(100,78) = HCF(778,100) = HCF(878,778) = HCF(2534,878) = HCF(5946,2534) .
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 5946, 2534?
Answer: HCF of 5946, 2534 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5946, 2534 using Euclid's Algorithm?
Answer: For arbitrary numbers 5946, 2534 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.