Highest Common Factor of 2891, 1670 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 2891, 1670 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2891, 1670 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 2891, 1670 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 2891, 1670 is 1.
HCF(2891, 1670) = 1
HCF of 2891, 1670 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2891, 1670 is 1.
Highest Common Factor of 2891,1670 is 1
Step 1: Since 2891 > 1670, we apply the division lemma to 2891 and 1670, to get
2891 = 1670 x 1 + 1221
Step 2: Since the reminder 1670 ≠ 0, we apply division lemma to 1221 and 1670, to get
1670 = 1221 x 1 + 449
Step 3: We consider the new divisor 1221 and the new remainder 449, and apply the division lemma to get
1221 = 449 x 2 + 323
We consider the new divisor 449 and the new remainder 323,and apply the division lemma to get
449 = 323 x 1 + 126
We consider the new divisor 323 and the new remainder 126,and apply the division lemma to get
323 = 126 x 2 + 71
We consider the new divisor 126 and the new remainder 71,and apply the division lemma to get
126 = 71 x 1 + 55
We consider the new divisor 71 and the new remainder 55,and apply the division lemma to get
71 = 55 x 1 + 16
We consider the new divisor 55 and the new remainder 16,and apply the division lemma to get
55 = 16 x 3 + 7
We consider the new divisor 16 and the new remainder 7,and apply the division lemma to get
16 = 7 x 2 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 2891 and 1670 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(16,7) = HCF(55,16) = HCF(71,55) = HCF(126,71) = HCF(323,126) = HCF(449,323) = HCF(1221,449) = HCF(1670,1221) = HCF(2891,1670) .
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Frequently Asked Questions on HCF of 2891, 1670 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 2891, 1670?
Answer: HCF of 2891, 1670 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2891, 1670 using Euclid's Algorithm?
Answer: For arbitrary numbers 2891, 1670 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.