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 8837, 1710 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8837, 1710 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 8837, 1710 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 8837, 1710 is 1.
HCF(8837, 1710) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8837, 1710 is 1.
Step 1: Since 8837 > 1710, we apply the division lemma to 8837 and 1710, to get
8837 = 1710 x 5 + 287
Step 2: Since the reminder 1710 ≠ 0, we apply division lemma to 287 and 1710, to get
1710 = 287 x 5 + 275
Step 3: We consider the new divisor 287 and the new remainder 275, and apply the division lemma to get
287 = 275 x 1 + 12
We consider the new divisor 275 and the new remainder 12,and apply the division lemma to get
275 = 12 x 22 + 11
We consider the new divisor 12 and the new remainder 11,and apply the division lemma to get
12 = 11 x 1 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8837 and 1710 is 1
Notice that 1 = HCF(11,1) = HCF(12,11) = HCF(275,12) = HCF(287,275) = HCF(1710,287) = HCF(8837,1710) .
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 8837, 1710?
Answer: HCF of 8837, 1710 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8837, 1710 using Euclid's Algorithm?
Answer: For arbitrary numbers 8837, 1710 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.