Highest Common Factor of 7979, 4231 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 7979, 4231 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7979, 4231 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 7979, 4231 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 7979, 4231 is 1.
HCF(7979, 4231) = 1
HCF of 7979, 4231 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7979, 4231 is 1.
Highest Common Factor of 7979,4231 is 1
Step 1: Since 7979 > 4231, we apply the division lemma to 7979 and 4231, to get
7979 = 4231 x 1 + 3748
Step 2: Since the reminder 4231 ≠ 0, we apply division lemma to 3748 and 4231, to get
4231 = 3748 x 1 + 483
Step 3: We consider the new divisor 3748 and the new remainder 483, and apply the division lemma to get
3748 = 483 x 7 + 367
We consider the new divisor 483 and the new remainder 367,and apply the division lemma to get
483 = 367 x 1 + 116
We consider the new divisor 367 and the new remainder 116,and apply the division lemma to get
367 = 116 x 3 + 19
We consider the new divisor 116 and the new remainder 19,and apply the division lemma to get
116 = 19 x 6 + 2
We consider the new divisor 19 and the new remainder 2,and apply the division lemma to get
19 = 2 x 9 + 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 7979 and 4231 is 1
Notice that 1 = HCF(2,1) = HCF(19,2) = HCF(116,19) = HCF(367,116) = HCF(483,367) = HCF(3748,483) = HCF(4231,3748) = HCF(7979,4231) .
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Frequently Asked Questions on HCF of 7979, 4231 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 7979, 4231?
Answer: HCF of 7979, 4231 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7979, 4231 using Euclid's Algorithm?
Answer: For arbitrary numbers 7979, 4231 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.