Highest Common Factor of 781, 1979, 1583 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 781, 1979, 1583 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 781, 1979, 1583 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 781, 1979, 1583 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 781, 1979, 1583 is 1.
HCF(781, 1979, 1583) = 1
HCF of 781, 1979, 1583 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 781, 1979, 1583 is 1.
Highest Common Factor of 781,1979,1583 is 1
Step 1: Since 1979 > 781, we apply the division lemma to 1979 and 781, to get
1979 = 781 x 2 + 417
Step 2: Since the reminder 781 ≠ 0, we apply division lemma to 417 and 781, to get
781 = 417 x 1 + 364
Step 3: We consider the new divisor 417 and the new remainder 364, and apply the division lemma to get
417 = 364 x 1 + 53
We consider the new divisor 364 and the new remainder 53,and apply the division lemma to get
364 = 53 x 6 + 46
We consider the new divisor 53 and the new remainder 46,and apply the division lemma to get
53 = 46 x 1 + 7
We consider the new divisor 46 and the new remainder 7,and apply the division lemma to get
46 = 7 x 6 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 781 and 1979 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(46,7) = HCF(53,46) = HCF(364,53) = HCF(417,364) = HCF(781,417) = HCF(1979,781) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 1583 > 1, we apply the division lemma to 1583 and 1, to get
1583 = 1 x 1583 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 1583 is 1
Notice that 1 = HCF(1583,1) .
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Frequently Asked Questions on HCF of 781, 1979, 1583 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 781, 1979, 1583?
Answer: HCF of 781, 1979, 1583 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 781, 1979, 1583 using Euclid's Algorithm?
Answer: For arbitrary numbers 781, 1979, 1583 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.