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 834, 76476 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 834, 76476 is 6 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 834, 76476 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 834, 76476 is 6.
HCF(834, 76476) = 6
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 834, 76476 is 6.
Step 1: Since 76476 > 834, we apply the division lemma to 76476 and 834, to get
76476 = 834 x 91 + 582
Step 2: Since the reminder 834 ≠ 0, we apply division lemma to 582 and 834, to get
834 = 582 x 1 + 252
Step 3: We consider the new divisor 582 and the new remainder 252, and apply the division lemma to get
582 = 252 x 2 + 78
We consider the new divisor 252 and the new remainder 78,and apply the division lemma to get
252 = 78 x 3 + 18
We consider the new divisor 78 and the new remainder 18,and apply the division lemma to get
78 = 18 x 4 + 6
We consider the new divisor 18 and the new remainder 6,and apply the division lemma to get
18 = 6 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 834 and 76476 is 6
Notice that 6 = HCF(18,6) = HCF(78,18) = HCF(252,78) = HCF(582,252) = HCF(834,582) = HCF(76476,834) .
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 834, 76476?
Answer: HCF of 834, 76476 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 834, 76476 using Euclid's Algorithm?
Answer: For arbitrary numbers 834, 76476 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.