Highest Common Factor of 705, 982, 807 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 705, 982, 807 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 705, 982, 807 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 705, 982, 807 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 705, 982, 807 is 1.
HCF(705, 982, 807) = 1
HCF of 705, 982, 807 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 705, 982, 807 is 1.
Highest Common Factor of 705,982,807 is 1
Step 1: Since 982 > 705, we apply the division lemma to 982 and 705, to get
982 = 705 x 1 + 277
Step 2: Since the reminder 705 ≠ 0, we apply division lemma to 277 and 705, to get
705 = 277 x 2 + 151
Step 3: We consider the new divisor 277 and the new remainder 151, and apply the division lemma to get
277 = 151 x 1 + 126
We consider the new divisor 151 and the new remainder 126,and apply the division lemma to get
151 = 126 x 1 + 25
We consider the new divisor 126 and the new remainder 25,and apply the division lemma to get
126 = 25 x 5 + 1
We consider the new divisor 25 and the new remainder 1,and apply the division lemma to get
25 = 1 x 25 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 705 and 982 is 1
Notice that 1 = HCF(25,1) = HCF(126,25) = HCF(151,126) = HCF(277,151) = HCF(705,277) = HCF(982,705) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 807 > 1, we apply the division lemma to 807 and 1, to get
807 = 1 x 807 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 807 is 1
Notice that 1 = HCF(807,1) .
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Frequently Asked Questions on HCF of 705, 982, 807 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 705, 982, 807?
Answer: HCF of 705, 982, 807 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 705, 982, 807 using Euclid's Algorithm?
Answer: For arbitrary numbers 705, 982, 807 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.