Highest Common Factor of 1410, 8709 using Euclid's algorithm
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 1410, 8709 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 1410, 8709 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 1410, 8709 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 1410, 8709 is 3.
HCF(1410, 8709) = 3
HCF of 1410, 8709 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1410, 8709 is 3.
Highest Common Factor of 1410,8709 is 3
Step 1: Since 8709 > 1410, we apply the division lemma to 8709 and 1410, to get
8709 = 1410 x 6 + 249
Step 2: Since the reminder 1410 ≠ 0, we apply division lemma to 249 and 1410, to get
1410 = 249 x 5 + 165
Step 3: We consider the new divisor 249 and the new remainder 165, and apply the division lemma to get
249 = 165 x 1 + 84
We consider the new divisor 165 and the new remainder 84,and apply the division lemma to get
165 = 84 x 1 + 81
We consider the new divisor 84 and the new remainder 81,and apply the division lemma to get
84 = 81 x 1 + 3
We consider the new divisor 81 and the new remainder 3,and apply the division lemma to get
81 = 3 x 27 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 1410 and 8709 is 3
Notice that 3 = HCF(81,3) = HCF(84,81) = HCF(165,84) = HCF(249,165) = HCF(1410,249) = HCF(8709,1410) .
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Frequently Asked Questions on HCF of 1410, 8709 using Euclid's Algorithm
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 1410, 8709?
Answer: HCF of 1410, 8709 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1410, 8709 using Euclid's Algorithm?
Answer: For arbitrary numbers 1410, 8709 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.