Highest Common Factor of 857, 276, 80, 565 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 857, 276, 80, 565 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 857, 276, 80, 565 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 857, 276, 80, 565 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 857, 276, 80, 565 is 1.
HCF(857, 276, 80, 565) = 1
HCF of 857, 276, 80, 565 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 857, 276, 80, 565 is 1.
Highest Common Factor of 857,276,80,565 is 1
Step 1: Since 857 > 276, we apply the division lemma to 857 and 276, to get
857 = 276 x 3 + 29
Step 2: Since the reminder 276 ≠ 0, we apply division lemma to 29 and 276, to get
276 = 29 x 9 + 15
Step 3: We consider the new divisor 29 and the new remainder 15, and apply the division lemma to get
29 = 15 x 1 + 14
We consider the new divisor 15 and the new remainder 14,and apply the division lemma to get
15 = 14 x 1 + 1
We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get
14 = 1 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 857 and 276 is 1
Notice that 1 = HCF(14,1) = HCF(15,14) = HCF(29,15) = HCF(276,29) = HCF(857,276) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 80 > 1, we apply the division lemma to 80 and 1, to get
80 = 1 x 80 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 80 is 1
Notice that 1 = HCF(80,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 565 > 1, we apply the division lemma to 565 and 1, to get
565 = 1 x 565 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 565 is 1
Notice that 1 = HCF(565,1) .
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Frequently Asked Questions on HCF of 857, 276, 80, 565 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 857, 276, 80, 565?
Answer: HCF of 857, 276, 80, 565 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 857, 276, 80, 565 using Euclid's Algorithm?
Answer: For arbitrary numbers 857, 276, 80, 565 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
