Highest Common Factor of 703, 879, 585, 411 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 703, 879, 585, 411 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 703, 879, 585, 411 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 703, 879, 585, 411 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 703, 879, 585, 411 is 1.
HCF(703, 879, 585, 411) = 1
HCF of 703, 879, 585, 411 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 703, 879, 585, 411 is 1.
Highest Common Factor of 703,879,585,411 is 1
Step 1: Since 879 > 703, we apply the division lemma to 879 and 703, to get
879 = 703 x 1 + 176
Step 2: Since the reminder 703 ≠ 0, we apply division lemma to 176 and 703, to get
703 = 176 x 3 + 175
Step 3: We consider the new divisor 176 and the new remainder 175, and apply the division lemma to get
176 = 175 x 1 + 1
We consider the new divisor 175 and the new remainder 1, and apply the division lemma to get
175 = 1 x 175 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 703 and 879 is 1
Notice that 1 = HCF(175,1) = HCF(176,175) = HCF(703,176) = HCF(879,703) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 585 > 1, we apply the division lemma to 585 and 1, to get
585 = 1 x 585 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 585 is 1
Notice that 1 = HCF(585,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 411 > 1, we apply the division lemma to 411 and 1, to get
411 = 1 x 411 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 411 is 1
Notice that 1 = HCF(411,1) .
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Frequently Asked Questions on HCF of 703, 879, 585, 411 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 703, 879, 585, 411?
Answer: HCF of 703, 879, 585, 411 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 703, 879, 585, 411 using Euclid's Algorithm?
Answer: For arbitrary numbers 703, 879, 585, 411 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.