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 928, 55109 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 928, 55109 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 928, 55109 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 928, 55109 is 1.
HCF(928, 55109) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 928, 55109 is 1.
Step 1: Since 55109 > 928, we apply the division lemma to 55109 and 928, to get
55109 = 928 x 59 + 357
Step 2: Since the reminder 928 ≠ 0, we apply division lemma to 357 and 928, to get
928 = 357 x 2 + 214
Step 3: We consider the new divisor 357 and the new remainder 214, and apply the division lemma to get
357 = 214 x 1 + 143
We consider the new divisor 214 and the new remainder 143,and apply the division lemma to get
214 = 143 x 1 + 71
We consider the new divisor 143 and the new remainder 71,and apply the division lemma to get
143 = 71 x 2 + 1
We consider the new divisor 71 and the new remainder 1,and apply the division lemma to get
71 = 1 x 71 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 928 and 55109 is 1
Notice that 1 = HCF(71,1) = HCF(143,71) = HCF(214,143) = HCF(357,214) = HCF(928,357) = HCF(55109,928) .
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 928, 55109?
Answer: HCF of 928, 55109 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 928, 55109 using Euclid's Algorithm?
Answer: For arbitrary numbers 928, 55109 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.