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 3495, 6839, 60272 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3495, 6839, 60272 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 3495, 6839, 60272 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 3495, 6839, 60272 is 1.
HCF(3495, 6839, 60272) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3495, 6839, 60272 is 1.
Step 1: Since 6839 > 3495, we apply the division lemma to 6839 and 3495, to get
6839 = 3495 x 1 + 3344
Step 2: Since the reminder 3495 ≠ 0, we apply division lemma to 3344 and 3495, to get
3495 = 3344 x 1 + 151
Step 3: We consider the new divisor 3344 and the new remainder 151, and apply the division lemma to get
3344 = 151 x 22 + 22
We consider the new divisor 151 and the new remainder 22,and apply the division lemma to get
151 = 22 x 6 + 19
We consider the new divisor 22 and the new remainder 19,and apply the division lemma to get
22 = 19 x 1 + 3
We consider the new divisor 19 and the new remainder 3,and apply the division lemma to get
19 = 3 x 6 + 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 3495 and 6839 is 1
Notice that 1 = HCF(3,1) = HCF(19,3) = HCF(22,19) = HCF(151,22) = HCF(3344,151) = HCF(3495,3344) = HCF(6839,3495) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 60272 > 1, we apply the division lemma to 60272 and 1, to get
60272 = 1 x 60272 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 60272 is 1
Notice that 1 = HCF(60272,1) .
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 3495, 6839, 60272?
Answer: HCF of 3495, 6839, 60272 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3495, 6839, 60272 using Euclid's Algorithm?
Answer: For arbitrary numbers 3495, 6839, 60272 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.