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 919, 728 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 919, 728 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 919, 728 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 919, 728 is 1.
HCF(919, 728) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 919, 728 is 1.
Step 1: Since 919 > 728, we apply the division lemma to 919 and 728, to get
919 = 728 x 1 + 191
Step 2: Since the reminder 728 ≠ 0, we apply division lemma to 191 and 728, to get
728 = 191 x 3 + 155
Step 3: We consider the new divisor 191 and the new remainder 155, and apply the division lemma to get
191 = 155 x 1 + 36
We consider the new divisor 155 and the new remainder 36,and apply the division lemma to get
155 = 36 x 4 + 11
We consider the new divisor 36 and the new remainder 11,and apply the division lemma to get
36 = 11 x 3 + 3
We consider the new divisor 11 and the new remainder 3,and apply the division lemma to get
11 = 3 x 3 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 919 and 728 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(36,11) = HCF(155,36) = HCF(191,155) = HCF(728,191) = HCF(919,728) .
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 919, 728?
Answer: HCF of 919, 728 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 919, 728 using Euclid's Algorithm?
Answer: For arbitrary numbers 919, 728 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.