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 6025, 5344 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6025, 5344 is 1 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 6025, 5344 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 6025, 5344 is 1.
HCF(6025, 5344) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6025, 5344 is 1.
Step 1: Since 6025 > 5344, we apply the division lemma to 6025 and 5344, to get
6025 = 5344 x 1 + 681
Step 2: Since the reminder 5344 ≠ 0, we apply division lemma to 681 and 5344, to get
5344 = 681 x 7 + 577
Step 3: We consider the new divisor 681 and the new remainder 577, and apply the division lemma to get
681 = 577 x 1 + 104
We consider the new divisor 577 and the new remainder 104,and apply the division lemma to get
577 = 104 x 5 + 57
We consider the new divisor 104 and the new remainder 57,and apply the division lemma to get
104 = 57 x 1 + 47
We consider the new divisor 57 and the new remainder 47,and apply the division lemma to get
57 = 47 x 1 + 10
We consider the new divisor 47 and the new remainder 10,and apply the division lemma to get
47 = 10 x 4 + 7
We consider the new divisor 10 and the new remainder 7,and apply the division lemma to get
10 = 7 x 1 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6025 and 5344 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(10,7) = HCF(47,10) = HCF(57,47) = HCF(104,57) = HCF(577,104) = HCF(681,577) = HCF(5344,681) = HCF(6025,5344) .
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 6025, 5344?
Answer: HCF of 6025, 5344 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6025, 5344 using Euclid's Algorithm?
Answer: For arbitrary numbers 6025, 5344 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.