Highest Common Factor of 720, 911 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 720, 911 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 720, 911 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 720, 911 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 720, 911 is 1.
HCF(720, 911) = 1
HCF of 720, 911 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 720, 911 is 1.
Highest Common Factor of 720,911 is 1
Step 1: Since 911 > 720, we apply the division lemma to 911 and 720, to get
911 = 720 x 1 + 191
Step 2: Since the reminder 720 ≠ 0, we apply division lemma to 191 and 720, to get
720 = 191 x 3 + 147
Step 3: We consider the new divisor 191 and the new remainder 147, and apply the division lemma to get
191 = 147 x 1 + 44
We consider the new divisor 147 and the new remainder 44,and apply the division lemma to get
147 = 44 x 3 + 15
We consider the new divisor 44 and the new remainder 15,and apply the division lemma to get
44 = 15 x 2 + 14
We consider the new divisor 15 and the new remainder 14,and apply the division lemma to get
15 = 14 x 1 + 1
We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get
14 = 1 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 720 and 911 is 1
Notice that 1 = HCF(14,1) = HCF(15,14) = HCF(44,15) = HCF(147,44) = HCF(191,147) = HCF(720,191) = HCF(911,720) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 720, 911 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 720, 911?
Answer: HCF of 720, 911 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 720, 911 using Euclid's Algorithm?
Answer: For arbitrary numbers 720, 911 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.