Highest Common Factor of 709, 898 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 709, 898 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 709, 898 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 709, 898 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 709, 898 is 1.
HCF(709, 898) = 1
HCF of 709, 898 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 709, 898 is 1.
Highest Common Factor of 709,898 is 1
Step 1: Since 898 > 709, we apply the division lemma to 898 and 709, to get
898 = 709 x 1 + 189
Step 2: Since the reminder 709 ≠ 0, we apply division lemma to 189 and 709, to get
709 = 189 x 3 + 142
Step 3: We consider the new divisor 189 and the new remainder 142, and apply the division lemma to get
189 = 142 x 1 + 47
We consider the new divisor 142 and the new remainder 47,and apply the division lemma to get
142 = 47 x 3 + 1
We consider the new divisor 47 and the new remainder 1,and apply the division lemma to get
47 = 1 x 47 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 709 and 898 is 1
Notice that 1 = HCF(47,1) = HCF(142,47) = HCF(189,142) = HCF(709,189) = HCF(898,709) .
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Frequently Asked Questions on HCF of 709, 898 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 709, 898?
Answer: HCF of 709, 898 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 709, 898 using Euclid's Algorithm?
Answer: For arbitrary numbers 709, 898 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.