Highest Common Factor of 2942, 7179 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 2942, 7179 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2942, 7179 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 2942, 7179 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 2942, 7179 is 1.
HCF(2942, 7179) = 1
HCF of 2942, 7179 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2942, 7179 is 1.
Highest Common Factor of 2942,7179 is 1
Step 1: Since 7179 > 2942, we apply the division lemma to 7179 and 2942, to get
7179 = 2942 x 2 + 1295
Step 2: Since the reminder 2942 ≠ 0, we apply division lemma to 1295 and 2942, to get
2942 = 1295 x 2 + 352
Step 3: We consider the new divisor 1295 and the new remainder 352, and apply the division lemma to get
1295 = 352 x 3 + 239
We consider the new divisor 352 and the new remainder 239,and apply the division lemma to get
352 = 239 x 1 + 113
We consider the new divisor 239 and the new remainder 113,and apply the division lemma to get
239 = 113 x 2 + 13
We consider the new divisor 113 and the new remainder 13,and apply the division lemma to get
113 = 13 x 8 + 9
We consider the new divisor 13 and the new remainder 9,and apply the division lemma to get
13 = 9 x 1 + 4
We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get
9 = 4 x 2 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2942 and 7179 is 1
Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(13,9) = HCF(113,13) = HCF(239,113) = HCF(352,239) = HCF(1295,352) = HCF(2942,1295) = HCF(7179,2942) .
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Frequently Asked Questions on HCF of 2942, 7179 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 2942, 7179?
Answer: HCF of 2942, 7179 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2942, 7179 using Euclid's Algorithm?
Answer: For arbitrary numbers 2942, 7179 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.