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 7563, 7620 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 7563, 7620 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 7563, 7620 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 7563, 7620 is 3.
HCF(7563, 7620) = 3
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7563, 7620 is 3.
Step 1: Since 7620 > 7563, we apply the division lemma to 7620 and 7563, to get
7620 = 7563 x 1 + 57
Step 2: Since the reminder 7563 ≠ 0, we apply division lemma to 57 and 7563, to get
7563 = 57 x 132 + 39
Step 3: We consider the new divisor 57 and the new remainder 39, and apply the division lemma to get
57 = 39 x 1 + 18
We consider the new divisor 39 and the new remainder 18,and apply the division lemma to get
39 = 18 x 2 + 3
We consider the new divisor 18 and the new remainder 3,and apply the division lemma to get
18 = 3 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 7563 and 7620 is 3
Notice that 3 = HCF(18,3) = HCF(39,18) = HCF(57,39) = HCF(7563,57) = HCF(7620,7563) .
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 7563, 7620?
Answer: HCF of 7563, 7620 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7563, 7620 using Euclid's Algorithm?
Answer: For arbitrary numbers 7563, 7620 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.