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 2726, 1531 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2726, 1531 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 2726, 1531 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 2726, 1531 is 1.
HCF(2726, 1531) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2726, 1531 is 1.
Step 1: Since 2726 > 1531, we apply the division lemma to 2726 and 1531, to get
2726 = 1531 x 1 + 1195
Step 2: Since the reminder 1531 ≠ 0, we apply division lemma to 1195 and 1531, to get
1531 = 1195 x 1 + 336
Step 3: We consider the new divisor 1195 and the new remainder 336, and apply the division lemma to get
1195 = 336 x 3 + 187
We consider the new divisor 336 and the new remainder 187,and apply the division lemma to get
336 = 187 x 1 + 149
We consider the new divisor 187 and the new remainder 149,and apply the division lemma to get
187 = 149 x 1 + 38
We consider the new divisor 149 and the new remainder 38,and apply the division lemma to get
149 = 38 x 3 + 35
We consider the new divisor 38 and the new remainder 35,and apply the division lemma to get
38 = 35 x 1 + 3
We consider the new divisor 35 and the new remainder 3,and apply the division lemma to get
35 = 3 x 11 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2726 and 1531 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(35,3) = HCF(38,35) = HCF(149,38) = HCF(187,149) = HCF(336,187) = HCF(1195,336) = HCF(1531,1195) = HCF(2726,1531) .
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 2726, 1531?
Answer: HCF of 2726, 1531 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2726, 1531 using Euclid's Algorithm?
Answer: For arbitrary numbers 2726, 1531 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.