Highest Common Factor of 855, 566, 698, 731 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 855, 566, 698, 731 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 855, 566, 698, 731 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 855, 566, 698, 731 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 855, 566, 698, 731 is 1.
HCF(855, 566, 698, 731) = 1
HCF of 855, 566, 698, 731 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 855, 566, 698, 731 is 1.
Highest Common Factor of 855,566,698,731 is 1
Step 1: Since 855 > 566, we apply the division lemma to 855 and 566, to get
855 = 566 x 1 + 289
Step 2: Since the reminder 566 ≠ 0, we apply division lemma to 289 and 566, to get
566 = 289 x 1 + 277
Step 3: We consider the new divisor 289 and the new remainder 277, and apply the division lemma to get
289 = 277 x 1 + 12
We consider the new divisor 277 and the new remainder 12,and apply the division lemma to get
277 = 12 x 23 + 1
We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get
12 = 1 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 855 and 566 is 1
Notice that 1 = HCF(12,1) = HCF(277,12) = HCF(289,277) = HCF(566,289) = HCF(855,566) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 698 > 1, we apply the division lemma to 698 and 1, to get
698 = 1 x 698 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 698 is 1
Notice that 1 = HCF(698,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 731 > 1, we apply the division lemma to 731 and 1, to get
731 = 1 x 731 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 731 is 1
Notice that 1 = HCF(731,1) .
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Frequently Asked Questions on HCF of 855, 566, 698, 731 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 855, 566, 698, 731?
Answer: HCF of 855, 566, 698, 731 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 855, 566, 698, 731 using Euclid's Algorithm?
Answer: For arbitrary numbers 855, 566, 698, 731 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.