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 5600, 6544 i.e. 16 the largest integer that leaves a remainder zero for all numbers.
HCF of 5600, 6544 is 16 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 5600, 6544 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 5600, 6544 is 16.
HCF(5600, 6544) = 16
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5600, 6544 is 16.
Step 1: Since 6544 > 5600, we apply the division lemma to 6544 and 5600, to get
6544 = 5600 x 1 + 944
Step 2: Since the reminder 5600 ≠ 0, we apply division lemma to 944 and 5600, to get
5600 = 944 x 5 + 880
Step 3: We consider the new divisor 944 and the new remainder 880, and apply the division lemma to get
944 = 880 x 1 + 64
We consider the new divisor 880 and the new remainder 64,and apply the division lemma to get
880 = 64 x 13 + 48
We consider the new divisor 64 and the new remainder 48,and apply the division lemma to get
64 = 48 x 1 + 16
We consider the new divisor 48 and the new remainder 16,and apply the division lemma to get
48 = 16 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 16, the HCF of 5600 and 6544 is 16
Notice that 16 = HCF(48,16) = HCF(64,48) = HCF(880,64) = HCF(944,880) = HCF(5600,944) = HCF(6544,5600) .
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 5600, 6544?
Answer: HCF of 5600, 6544 is 16 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5600, 6544 using Euclid's Algorithm?
Answer: For arbitrary numbers 5600, 6544 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.