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 7623, 6582 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 7623, 6582 is 3 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 7623, 6582 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 7623, 6582 is 3.
HCF(7623, 6582) = 3
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7623, 6582 is 3.
Step 1: Since 7623 > 6582, we apply the division lemma to 7623 and 6582, to get
7623 = 6582 x 1 + 1041
Step 2: Since the reminder 6582 ≠ 0, we apply division lemma to 1041 and 6582, to get
6582 = 1041 x 6 + 336
Step 3: We consider the new divisor 1041 and the new remainder 336, and apply the division lemma to get
1041 = 336 x 3 + 33
We consider the new divisor 336 and the new remainder 33,and apply the division lemma to get
336 = 33 x 10 + 6
We consider the new divisor 33 and the new remainder 6,and apply the division lemma to get
33 = 6 x 5 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 7623 and 6582 is 3
Notice that 3 = HCF(6,3) = HCF(33,6) = HCF(336,33) = HCF(1041,336) = HCF(6582,1041) = HCF(7623,6582) .
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 7623, 6582?
Answer: HCF of 7623, 6582 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7623, 6582 using Euclid's Algorithm?
Answer: For arbitrary numbers 7623, 6582 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.