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 917, 8520, 7263 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 917, 8520, 7263 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 917, 8520, 7263 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 917, 8520, 7263 is 1.
HCF(917, 8520, 7263) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 917, 8520, 7263 is 1.
Step 1: Since 8520 > 917, we apply the division lemma to 8520 and 917, to get
8520 = 917 x 9 + 267
Step 2: Since the reminder 917 ≠ 0, we apply division lemma to 267 and 917, to get
917 = 267 x 3 + 116
Step 3: We consider the new divisor 267 and the new remainder 116, and apply the division lemma to get
267 = 116 x 2 + 35
We consider the new divisor 116 and the new remainder 35,and apply the division lemma to get
116 = 35 x 3 + 11
We consider the new divisor 35 and the new remainder 11,and apply the division lemma to get
35 = 11 x 3 + 2
We consider the new divisor 11 and the new remainder 2,and apply the division lemma to get
11 = 2 x 5 + 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 917 and 8520 is 1
Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(35,11) = HCF(116,35) = HCF(267,116) = HCF(917,267) = HCF(8520,917) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 7263 > 1, we apply the division lemma to 7263 and 1, to get
7263 = 1 x 7263 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 7263 is 1
Notice that 1 = HCF(7263,1) .
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 917, 8520, 7263?
Answer: HCF of 917, 8520, 7263 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 917, 8520, 7263 using Euclid's Algorithm?
Answer: For arbitrary numbers 917, 8520, 7263 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.