Highest Common Factor of 1910, 2657 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 1910, 2657 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1910, 2657 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 1910, 2657 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 1910, 2657 is 1.
HCF(1910, 2657) = 1
HCF of 1910, 2657 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1910, 2657 is 1.
Highest Common Factor of 1910,2657 is 1
Step 1: Since 2657 > 1910, we apply the division lemma to 2657 and 1910, to get
2657 = 1910 x 1 + 747
Step 2: Since the reminder 1910 ≠ 0, we apply division lemma to 747 and 1910, to get
1910 = 747 x 2 + 416
Step 3: We consider the new divisor 747 and the new remainder 416, and apply the division lemma to get
747 = 416 x 1 + 331
We consider the new divisor 416 and the new remainder 331,and apply the division lemma to get
416 = 331 x 1 + 85
We consider the new divisor 331 and the new remainder 85,and apply the division lemma to get
331 = 85 x 3 + 76
We consider the new divisor 85 and the new remainder 76,and apply the division lemma to get
85 = 76 x 1 + 9
We consider the new divisor 76 and the new remainder 9,and apply the division lemma to get
76 = 9 x 8 + 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 1910 and 2657 is 1
Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(76,9) = HCF(85,76) = HCF(331,85) = HCF(416,331) = HCF(747,416) = HCF(1910,747) = HCF(2657,1910) .
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Frequently Asked Questions on HCF of 1910, 2657 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 1910, 2657?
Answer: HCF of 1910, 2657 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1910, 2657 using Euclid's Algorithm?
Answer: For arbitrary numbers 1910, 2657 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.