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 8851, 1439 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8851, 1439 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 8851, 1439 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 8851, 1439 is 1.
HCF(8851, 1439) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8851, 1439 is 1.
Step 1: Since 8851 > 1439, we apply the division lemma to 8851 and 1439, to get
8851 = 1439 x 6 + 217
Step 2: Since the reminder 1439 ≠ 0, we apply division lemma to 217 and 1439, to get
1439 = 217 x 6 + 137
Step 3: We consider the new divisor 217 and the new remainder 137, and apply the division lemma to get
217 = 137 x 1 + 80
We consider the new divisor 137 and the new remainder 80,and apply the division lemma to get
137 = 80 x 1 + 57
We consider the new divisor 80 and the new remainder 57,and apply the division lemma to get
80 = 57 x 1 + 23
We consider the new divisor 57 and the new remainder 23,and apply the division lemma to get
57 = 23 x 2 + 11
We consider the new divisor 23 and the new remainder 11,and apply the division lemma to get
23 = 11 x 2 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8851 and 1439 is 1
Notice that 1 = HCF(11,1) = HCF(23,11) = HCF(57,23) = HCF(80,57) = HCF(137,80) = HCF(217,137) = HCF(1439,217) = HCF(8851,1439) .
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 8851, 1439?
Answer: HCF of 8851, 1439 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8851, 1439 using Euclid's Algorithm?
Answer: For arbitrary numbers 8851, 1439 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.