Highest Common Factor of 982, 407, 759, 42 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 982, 407, 759, 42 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 982, 407, 759, 42 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 982, 407, 759, 42 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 982, 407, 759, 42 is 1.
HCF(982, 407, 759, 42) = 1
HCF of 982, 407, 759, 42 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 982, 407, 759, 42 is 1.
Highest Common Factor of 982,407,759,42 is 1
Step 1: Since 982 > 407, we apply the division lemma to 982 and 407, to get
982 = 407 x 2 + 168
Step 2: Since the reminder 407 ≠ 0, we apply division lemma to 168 and 407, to get
407 = 168 x 2 + 71
Step 3: We consider the new divisor 168 and the new remainder 71, and apply the division lemma to get
168 = 71 x 2 + 26
We consider the new divisor 71 and the new remainder 26,and apply the division lemma to get
71 = 26 x 2 + 19
We consider the new divisor 26 and the new remainder 19,and apply the division lemma to get
26 = 19 x 1 + 7
We consider the new divisor 19 and the new remainder 7,and apply the division lemma to get
19 = 7 x 2 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 982 and 407 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(19,7) = HCF(26,19) = HCF(71,26) = HCF(168,71) = HCF(407,168) = HCF(982,407) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 759 > 1, we apply the division lemma to 759 and 1, to get
759 = 1 x 759 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 759 is 1
Notice that 1 = HCF(759,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 42 > 1, we apply the division lemma to 42 and 1, to get
42 = 1 x 42 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 42 is 1
Notice that 1 = HCF(42,1) .
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Frequently Asked Questions on HCF of 982, 407, 759, 42 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 982, 407, 759, 42?
Answer: HCF of 982, 407, 759, 42 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 982, 407, 759, 42 using Euclid's Algorithm?
Answer: For arbitrary numbers 982, 407, 759, 42 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.