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 7187, 2662 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7187, 2662 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 7187, 2662 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 7187, 2662 is 1.
HCF(7187, 2662) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7187, 2662 is 1.
Step 1: Since 7187 > 2662, we apply the division lemma to 7187 and 2662, to get
7187 = 2662 x 2 + 1863
Step 2: Since the reminder 2662 ≠ 0, we apply division lemma to 1863 and 2662, to get
2662 = 1863 x 1 + 799
Step 3: We consider the new divisor 1863 and the new remainder 799, and apply the division lemma to get
1863 = 799 x 2 + 265
We consider the new divisor 799 and the new remainder 265,and apply the division lemma to get
799 = 265 x 3 + 4
We consider the new divisor 265 and the new remainder 4,and apply the division lemma to get
265 = 4 x 66 + 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 7187 and 2662 is 1
Notice that 1 = HCF(4,1) = HCF(265,4) = HCF(799,265) = HCF(1863,799) = HCF(2662,1863) = HCF(7187,2662) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 7187, 2662?
Answer: HCF of 7187, 2662 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7187, 2662 using Euclid's Algorithm?
Answer: For arbitrary numbers 7187, 2662 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.