Highest Common Factor of 7883, 5340, 79977 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 7883, 5340, 79977 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7883, 5340, 79977 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 7883, 5340, 79977 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 7883, 5340, 79977 is 1.
HCF(7883, 5340, 79977) = 1
HCF of 7883, 5340, 79977 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7883, 5340, 79977 is 1.
Highest Common Factor of 7883,5340,79977 is 1
Step 1: Since 7883 > 5340, we apply the division lemma to 7883 and 5340, to get
7883 = 5340 x 1 + 2543
Step 2: Since the reminder 5340 ≠ 0, we apply division lemma to 2543 and 5340, to get
5340 = 2543 x 2 + 254
Step 3: We consider the new divisor 2543 and the new remainder 254, and apply the division lemma to get
2543 = 254 x 10 + 3
We consider the new divisor 254 and the new remainder 3,and apply the division lemma to get
254 = 3 x 84 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 7883 and 5340 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(254,3) = HCF(2543,254) = HCF(5340,2543) = HCF(7883,5340) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 79977 > 1, we apply the division lemma to 79977 and 1, to get
79977 = 1 x 79977 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 79977 is 1
Notice that 1 = HCF(79977,1) .
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Frequently Asked Questions on HCF of 7883, 5340, 79977 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 7883, 5340, 79977?
Answer: HCF of 7883, 5340, 79977 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7883, 5340, 79977 using Euclid's Algorithm?
Answer: For arbitrary numbers 7883, 5340, 79977 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
