Highest Common Factor of 663, 371, 710 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 663, 371, 710 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 663, 371, 710 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 663, 371, 710 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 663, 371, 710 is 1.
HCF(663, 371, 710) = 1
HCF of 663, 371, 710 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 663, 371, 710 is 1.
Highest Common Factor of 663,371,710 is 1
Step 1: Since 663 > 371, we apply the division lemma to 663 and 371, to get
663 = 371 x 1 + 292
Step 2: Since the reminder 371 ≠ 0, we apply division lemma to 292 and 371, to get
371 = 292 x 1 + 79
Step 3: We consider the new divisor 292 and the new remainder 79, and apply the division lemma to get
292 = 79 x 3 + 55
We consider the new divisor 79 and the new remainder 55,and apply the division lemma to get
79 = 55 x 1 + 24
We consider the new divisor 55 and the new remainder 24,and apply the division lemma to get
55 = 24 x 2 + 7
We consider the new divisor 24 and the new remainder 7,and apply the division lemma to get
24 = 7 x 3 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 663 and 371 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(24,7) = HCF(55,24) = HCF(79,55) = HCF(292,79) = HCF(371,292) = HCF(663,371) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 710 > 1, we apply the division lemma to 710 and 1, to get
710 = 1 x 710 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 710 is 1
Notice that 1 = HCF(710,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 663, 371, 710 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 663, 371, 710?
Answer: HCF of 663, 371, 710 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 663, 371, 710 using Euclid's Algorithm?
Answer: For arbitrary numbers 663, 371, 710 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.