Highest Common Factor of 315, 837, 401, 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 315, 837, 401, 710 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 315, 837, 401, 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 315, 837, 401, 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 315, 837, 401, 710 is 1.
HCF(315, 837, 401, 710) = 1
HCF of 315, 837, 401, 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 315, 837, 401, 710 is 1.
Highest Common Factor of 315,837,401,710 is 1
Step 1: Since 837 > 315, we apply the division lemma to 837 and 315, to get
837 = 315 x 2 + 207
Step 2: Since the reminder 315 ≠ 0, we apply division lemma to 207 and 315, to get
315 = 207 x 1 + 108
Step 3: We consider the new divisor 207 and the new remainder 108, and apply the division lemma to get
207 = 108 x 1 + 99
We consider the new divisor 108 and the new remainder 99,and apply the division lemma to get
108 = 99 x 1 + 9
We consider the new divisor 99 and the new remainder 9,and apply the division lemma to get
99 = 9 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 315 and 837 is 9
Notice that 9 = HCF(99,9) = HCF(108,99) = HCF(207,108) = HCF(315,207) = HCF(837,315) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 401 > 9, we apply the division lemma to 401 and 9, to get
401 = 9 x 44 + 5
Step 2: Since the reminder 9 ≠ 0, we apply division lemma to 5 and 9, to get
9 = 5 x 1 + 4
Step 3: We consider the new divisor 5 and the new remainder 4, and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1, and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9 and 401 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(401,9) .
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) .
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Frequently Asked Questions on HCF of 315, 837, 401, 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 315, 837, 401, 710?
Answer: HCF of 315, 837, 401, 710 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 315, 837, 401, 710 using Euclid's Algorithm?
Answer: For arbitrary numbers 315, 837, 401, 710 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.