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 6542, 5720 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6542, 5720 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 6542, 5720 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 6542, 5720 is 2.
HCF(6542, 5720) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6542, 5720 is 2.
Step 1: Since 6542 > 5720, we apply the division lemma to 6542 and 5720, to get
6542 = 5720 x 1 + 822
Step 2: Since the reminder 5720 ≠ 0, we apply division lemma to 822 and 5720, to get
5720 = 822 x 6 + 788
Step 3: We consider the new divisor 822 and the new remainder 788, and apply the division lemma to get
822 = 788 x 1 + 34
We consider the new divisor 788 and the new remainder 34,and apply the division lemma to get
788 = 34 x 23 + 6
We consider the new divisor 34 and the new remainder 6,and apply the division lemma to get
34 = 6 x 5 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6542 and 5720 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(34,6) = HCF(788,34) = HCF(822,788) = HCF(5720,822) = HCF(6542,5720) .
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 6542, 5720?
Answer: HCF of 6542, 5720 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6542, 5720 using Euclid's Algorithm?
Answer: For arbitrary numbers 6542, 5720 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.