Highest Common Factor of 365, 634, 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 365, 634, 710 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 365, 634, 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 365, 634, 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 365, 634, 710 is 1.
HCF(365, 634, 710) = 1
HCF of 365, 634, 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 365, 634, 710 is 1.
Highest Common Factor of 365,634,710 is 1
Step 1: Since 634 > 365, we apply the division lemma to 634 and 365, to get
634 = 365 x 1 + 269
Step 2: Since the reminder 365 ≠ 0, we apply division lemma to 269 and 365, to get
365 = 269 x 1 + 96
Step 3: We consider the new divisor 269 and the new remainder 96, and apply the division lemma to get
269 = 96 x 2 + 77
We consider the new divisor 96 and the new remainder 77,and apply the division lemma to get
96 = 77 x 1 + 19
We consider the new divisor 77 and the new remainder 19,and apply the division lemma to get
77 = 19 x 4 + 1
We consider the new divisor 19 and the new remainder 1,and apply the division lemma to get
19 = 1 x 19 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 365 and 634 is 1
Notice that 1 = HCF(19,1) = HCF(77,19) = HCF(96,77) = HCF(269,96) = HCF(365,269) = HCF(634,365) .
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 365, 634, 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 365, 634, 710?
Answer: HCF of 365, 634, 710 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 365, 634, 710 using Euclid's Algorithm?
Answer: For arbitrary numbers 365, 634, 710 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
