Highest Common Factor of 6247, 2293 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 6247, 2293 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6247, 2293 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 6247, 2293 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 6247, 2293 is 1.
HCF(6247, 2293) = 1
HCF of 6247, 2293 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6247, 2293 is 1.
Highest Common Factor of 6247,2293 is 1
Step 1: Since 6247 > 2293, we apply the division lemma to 6247 and 2293, to get
6247 = 2293 x 2 + 1661
Step 2: Since the reminder 2293 ≠ 0, we apply division lemma to 1661 and 2293, to get
2293 = 1661 x 1 + 632
Step 3: We consider the new divisor 1661 and the new remainder 632, and apply the division lemma to get
1661 = 632 x 2 + 397
We consider the new divisor 632 and the new remainder 397,and apply the division lemma to get
632 = 397 x 1 + 235
We consider the new divisor 397 and the new remainder 235,and apply the division lemma to get
397 = 235 x 1 + 162
We consider the new divisor 235 and the new remainder 162,and apply the division lemma to get
235 = 162 x 1 + 73
We consider the new divisor 162 and the new remainder 73,and apply the division lemma to get
162 = 73 x 2 + 16
We consider the new divisor 73 and the new remainder 16,and apply the division lemma to get
73 = 16 x 4 + 9
We consider the new divisor 16 and the new remainder 9,and apply the division lemma to get
16 = 9 x 1 + 7
We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get
9 = 7 x 1 + 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 6247 and 2293 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(16,9) = HCF(73,16) = HCF(162,73) = HCF(235,162) = HCF(397,235) = HCF(632,397) = HCF(1661,632) = HCF(2293,1661) = HCF(6247,2293) .
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Frequently Asked Questions on HCF of 6247, 2293 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 6247, 2293?
Answer: HCF of 6247, 2293 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6247, 2293 using Euclid's Algorithm?
Answer: For arbitrary numbers 6247, 2293 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
