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 1635, 2616 i.e. 327 the largest integer that leaves a remainder zero for all numbers.
HCF of 1635, 2616 is 327 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 1635, 2616 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 1635, 2616 is 327.
HCF(1635, 2616) = 327
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1635, 2616 is 327.
Step 1: Since 2616 > 1635, we apply the division lemma to 2616 and 1635, to get
2616 = 1635 x 1 + 981
Step 2: Since the reminder 1635 ≠ 0, we apply division lemma to 981 and 1635, to get
1635 = 981 x 1 + 654
Step 3: We consider the new divisor 981 and the new remainder 654, and apply the division lemma to get
981 = 654 x 1 + 327
We consider the new divisor 654 and the new remainder 327, and apply the division lemma to get
654 = 327 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 327, the HCF of 1635 and 2616 is 327
Notice that 327 = HCF(654,327) = HCF(981,654) = HCF(1635,981) = HCF(2616,1635) .
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 1635, 2616?
Answer: HCF of 1635, 2616 is 327 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1635, 2616 using Euclid's Algorithm?
Answer: For arbitrary numbers 1635, 2616 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.