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 852, 5939, 2501 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 852, 5939, 2501 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 852, 5939, 2501 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 852, 5939, 2501 is 1.
HCF(852, 5939, 2501) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 852, 5939, 2501 is 1.
Step 1: Since 5939 > 852, we apply the division lemma to 5939 and 852, to get
5939 = 852 x 6 + 827
Step 2: Since the reminder 852 ≠ 0, we apply division lemma to 827 and 852, to get
852 = 827 x 1 + 25
Step 3: We consider the new divisor 827 and the new remainder 25, and apply the division lemma to get
827 = 25 x 33 + 2
We consider the new divisor 25 and the new remainder 2,and apply the division lemma to get
25 = 2 x 12 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 852 and 5939 is 1
Notice that 1 = HCF(2,1) = HCF(25,2) = HCF(827,25) = HCF(852,827) = HCF(5939,852) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 2501 > 1, we apply the division lemma to 2501 and 1, to get
2501 = 1 x 2501 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 2501 is 1
Notice that 1 = HCF(2501,1) .
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 852, 5939, 2501?
Answer: HCF of 852, 5939, 2501 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 852, 5939, 2501 using Euclid's Algorithm?
Answer: For arbitrary numbers 852, 5939, 2501 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.