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 831, 594, 117 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 831, 594, 117 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 831, 594, 117 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 831, 594, 117 is 3.
HCF(831, 594, 117) = 3
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 831, 594, 117 is 3.
Step 1: Since 831 > 594, we apply the division lemma to 831 and 594, to get
831 = 594 x 1 + 237
Step 2: Since the reminder 594 ≠ 0, we apply division lemma to 237 and 594, to get
594 = 237 x 2 + 120
Step 3: We consider the new divisor 237 and the new remainder 120, and apply the division lemma to get
237 = 120 x 1 + 117
We consider the new divisor 120 and the new remainder 117,and apply the division lemma to get
120 = 117 x 1 + 3
We consider the new divisor 117 and the new remainder 3,and apply the division lemma to get
117 = 3 x 39 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 831 and 594 is 3
Notice that 3 = HCF(117,3) = HCF(120,117) = HCF(237,120) = HCF(594,237) = HCF(831,594) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 117 > 3, we apply the division lemma to 117 and 3, to get
117 = 3 x 39 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3 and 117 is 3
Notice that 3 = HCF(117,3) .
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 831, 594, 117?
Answer: HCF of 831, 594, 117 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 831, 594, 117 using Euclid's Algorithm?
Answer: For arbitrary numbers 831, 594, 117 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.