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 534, 831, 247 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 534, 831, 247 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 534, 831, 247 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 534, 831, 247 is 1.
HCF(534, 831, 247) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 534, 831, 247 is 1.
Step 1: Since 831 > 534, we apply the division lemma to 831 and 534, to get
831 = 534 x 1 + 297
Step 2: Since the reminder 534 ≠ 0, we apply division lemma to 297 and 534, to get
534 = 297 x 1 + 237
Step 3: We consider the new divisor 297 and the new remainder 237, and apply the division lemma to get
297 = 237 x 1 + 60
We consider the new divisor 237 and the new remainder 60,and apply the division lemma to get
237 = 60 x 3 + 57
We consider the new divisor 60 and the new remainder 57,and apply the division lemma to get
60 = 57 x 1 + 3
We consider the new divisor 57 and the new remainder 3,and apply the division lemma to get
57 = 3 x 19 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 534 and 831 is 3
Notice that 3 = HCF(57,3) = HCF(60,57) = HCF(237,60) = HCF(297,237) = HCF(534,297) = HCF(831,534) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 247 > 3, we apply the division lemma to 247 and 3, to get
247 = 3 x 82 + 1
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, 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 3 and 247 is 1
Notice that 1 = HCF(3,1) = HCF(247,3) .
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 534, 831, 247?
Answer: HCF of 534, 831, 247 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 534, 831, 247 using Euclid's Algorithm?
Answer: For arbitrary numbers 534, 831, 247 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.