Highest Common Factor of 2707, 7990 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 2707, 7990 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2707, 7990 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 2707, 7990 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 2707, 7990 is 1.
HCF(2707, 7990) = 1
HCF of 2707, 7990 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2707, 7990 is 1.
Highest Common Factor of 2707,7990 is 1
Step 1: Since 7990 > 2707, we apply the division lemma to 7990 and 2707, to get
7990 = 2707 x 2 + 2576
Step 2: Since the reminder 2707 ≠ 0, we apply division lemma to 2576 and 2707, to get
2707 = 2576 x 1 + 131
Step 3: We consider the new divisor 2576 and the new remainder 131, and apply the division lemma to get
2576 = 131 x 19 + 87
We consider the new divisor 131 and the new remainder 87,and apply the division lemma to get
131 = 87 x 1 + 44
We consider the new divisor 87 and the new remainder 44,and apply the division lemma to get
87 = 44 x 1 + 43
We consider the new divisor 44 and the new remainder 43,and apply the division lemma to get
44 = 43 x 1 + 1
We consider the new divisor 43 and the new remainder 1,and apply the division lemma to get
43 = 1 x 43 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2707 and 7990 is 1
Notice that 1 = HCF(43,1) = HCF(44,43) = HCF(87,44) = HCF(131,87) = HCF(2576,131) = HCF(2707,2576) = HCF(7990,2707) .
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Frequently Asked Questions on HCF of 2707, 7990 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 2707, 7990?
Answer: HCF of 2707, 7990 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2707, 7990 using Euclid's Algorithm?
Answer: For arbitrary numbers 2707, 7990 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.