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 1630, 6736 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1630, 6736 is 2 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 1630, 6736 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 1630, 6736 is 2.
HCF(1630, 6736) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1630, 6736 is 2.
Step 1: Since 6736 > 1630, we apply the division lemma to 6736 and 1630, to get
6736 = 1630 x 4 + 216
Step 2: Since the reminder 1630 ≠ 0, we apply division lemma to 216 and 1630, to get
1630 = 216 x 7 + 118
Step 3: We consider the new divisor 216 and the new remainder 118, and apply the division lemma to get
216 = 118 x 1 + 98
We consider the new divisor 118 and the new remainder 98,and apply the division lemma to get
118 = 98 x 1 + 20
We consider the new divisor 98 and the new remainder 20,and apply the division lemma to get
98 = 20 x 4 + 18
We consider the new divisor 20 and the new remainder 18,and apply the division lemma to get
20 = 18 x 1 + 2
We consider the new divisor 18 and the new remainder 2,and apply the division lemma to get
18 = 2 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 1630 and 6736 is 2
Notice that 2 = HCF(18,2) = HCF(20,18) = HCF(98,20) = HCF(118,98) = HCF(216,118) = HCF(1630,216) = HCF(6736,1630) .
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 1630, 6736?
Answer: HCF of 1630, 6736 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1630, 6736 using Euclid's Algorithm?
Answer: For arbitrary numbers 1630, 6736 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.