Highest Common Factor of 1868, 1019, 12635 using Euclid's algorithm
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 1868, 1019, 12635 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1868, 1019, 12635 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 1868, 1019, 12635 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 1868, 1019, 12635 is 1.
HCF(1868, 1019, 12635) = 1
HCF of 1868, 1019, 12635 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1868, 1019, 12635 is 1.
Highest Common Factor of 1868,1019,12635 is 1
Step 1: Since 1868 > 1019, we apply the division lemma to 1868 and 1019, to get
1868 = 1019 x 1 + 849
Step 2: Since the reminder 1019 ≠ 0, we apply division lemma to 849 and 1019, to get
1019 = 849 x 1 + 170
Step 3: We consider the new divisor 849 and the new remainder 170, and apply the division lemma to get
849 = 170 x 4 + 169
We consider the new divisor 170 and the new remainder 169,and apply the division lemma to get
170 = 169 x 1 + 1
We consider the new divisor 169 and the new remainder 1,and apply the division lemma to get
169 = 1 x 169 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1868 and 1019 is 1
Notice that 1 = HCF(169,1) = HCF(170,169) = HCF(849,170) = HCF(1019,849) = HCF(1868,1019) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 12635 > 1, we apply the division lemma to 12635 and 1, to get
12635 = 1 x 12635 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 12635 is 1
Notice that 1 = HCF(12635,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 1868, 1019, 12635 using Euclid's Algorithm
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 1868, 1019, 12635?
Answer: HCF of 1868, 1019, 12635 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1868, 1019, 12635 using Euclid's Algorithm?
Answer: For arbitrary numbers 1868, 1019, 12635 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.