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 911, 79713 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 911, 79713 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 911, 79713 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 911, 79713 is 1.
HCF(911, 79713) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 911, 79713 is 1.
Step 1: Since 79713 > 911, we apply the division lemma to 79713 and 911, to get
79713 = 911 x 87 + 456
Step 2: Since the reminder 911 ≠ 0, we apply division lemma to 456 and 911, to get
911 = 456 x 1 + 455
Step 3: We consider the new divisor 456 and the new remainder 455, and apply the division lemma to get
456 = 455 x 1 + 1
We consider the new divisor 455 and the new remainder 1, and apply the division lemma to get
455 = 1 x 455 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 911 and 79713 is 1
Notice that 1 = HCF(455,1) = HCF(456,455) = HCF(911,456) = HCF(79713,911) .
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 911, 79713?
Answer: HCF of 911, 79713 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 911, 79713 using Euclid's Algorithm?
Answer: For arbitrary numbers 911, 79713 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.