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, 57860 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 834, 57860 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 834, 57860 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, 57860 is 2.
HCF(834, 57860) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 834, 57860 is 2.
Step 1: Since 57860 > 834, we apply the division lemma to 57860 and 834, to get
57860 = 834 x 69 + 314
Step 2: Since the reminder 834 ≠ 0, we apply division lemma to 314 and 834, to get
834 = 314 x 2 + 206
Step 3: We consider the new divisor 314 and the new remainder 206, and apply the division lemma to get
314 = 206 x 1 + 108
We consider the new divisor 206 and the new remainder 108,and apply the division lemma to get
206 = 108 x 1 + 98
We consider the new divisor 108 and the new remainder 98,and apply the division lemma to get
108 = 98 x 1 + 10
We consider the new divisor 98 and the new remainder 10,and apply the division lemma to get
98 = 10 x 9 + 8
We consider the new divisor 10 and the new remainder 8,and apply the division lemma to get
10 = 8 x 1 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 834 and 57860 is 2
Notice that 2 = HCF(8,2) = HCF(10,8) = HCF(98,10) = HCF(108,98) = HCF(206,108) = HCF(314,206) = HCF(834,314) = HCF(57860,834) .
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, 57860?
Answer: HCF of 834, 57860 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 834, 57860 using Euclid's Algorithm?
Answer: For arbitrary numbers 834, 57860 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.