Highest Common Factor of 710, 997, 683, 891 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 710, 997, 683, 891 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 710, 997, 683, 891 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 710, 997, 683, 891 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 710, 997, 683, 891 is 1.
HCF(710, 997, 683, 891) = 1
HCF of 710, 997, 683, 891 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 710, 997, 683, 891 is 1.
Highest Common Factor of 710,997,683,891 is 1
Step 1: Since 997 > 710, we apply the division lemma to 997 and 710, to get
997 = 710 x 1 + 287
Step 2: Since the reminder 710 ≠ 0, we apply division lemma to 287 and 710, to get
710 = 287 x 2 + 136
Step 3: We consider the new divisor 287 and the new remainder 136, and apply the division lemma to get
287 = 136 x 2 + 15
We consider the new divisor 136 and the new remainder 15,and apply the division lemma to get
136 = 15 x 9 + 1
We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get
15 = 1 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 710 and 997 is 1
Notice that 1 = HCF(15,1) = HCF(136,15) = HCF(287,136) = HCF(710,287) = HCF(997,710) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 683 > 1, we apply the division lemma to 683 and 1, to get
683 = 1 x 683 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 683 is 1
Notice that 1 = HCF(683,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 891 > 1, we apply the division lemma to 891 and 1, to get
891 = 1 x 891 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 891 is 1
Notice that 1 = HCF(891,1) .
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Frequently Asked Questions on HCF of 710, 997, 683, 891 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 710, 997, 683, 891?
Answer: HCF of 710, 997, 683, 891 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 710, 997, 683, 891 using Euclid's Algorithm?
Answer: For arbitrary numbers 710, 997, 683, 891 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.