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 910, 73693 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 910, 73693 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 910, 73693 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 910, 73693 is 1.
HCF(910, 73693) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 910, 73693 is 1.
Step 1: Since 73693 > 910, we apply the division lemma to 73693 and 910, to get
73693 = 910 x 80 + 893
Step 2: Since the reminder 910 ≠ 0, we apply division lemma to 893 and 910, to get
910 = 893 x 1 + 17
Step 3: We consider the new divisor 893 and the new remainder 17, and apply the division lemma to get
893 = 17 x 52 + 9
We consider the new divisor 17 and the new remainder 9,and apply the division lemma to get
17 = 9 x 1 + 8
We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get
9 = 8 x 1 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 910 and 73693 is 1
Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(17,9) = HCF(893,17) = HCF(910,893) = HCF(73693,910) .
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 910, 73693?
Answer: HCF of 910, 73693 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 910, 73693 using Euclid's Algorithm?
Answer: For arbitrary numbers 910, 73693 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.