Highest Common Factor of 847, 1303, 8969 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 847, 1303, 8969 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 847, 1303, 8969 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 847, 1303, 8969 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 847, 1303, 8969 is 1.
HCF(847, 1303, 8969) = 1
HCF of 847, 1303, 8969 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 847, 1303, 8969 is 1.
Highest Common Factor of 847,1303,8969 is 1
Step 1: Since 1303 > 847, we apply the division lemma to 1303 and 847, to get
1303 = 847 x 1 + 456
Step 2: Since the reminder 847 ≠ 0, we apply division lemma to 456 and 847, to get
847 = 456 x 1 + 391
Step 3: We consider the new divisor 456 and the new remainder 391, and apply the division lemma to get
456 = 391 x 1 + 65
We consider the new divisor 391 and the new remainder 65,and apply the division lemma to get
391 = 65 x 6 + 1
We consider the new divisor 65 and the new remainder 1,and apply the division lemma to get
65 = 1 x 65 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 847 and 1303 is 1
Notice that 1 = HCF(65,1) = HCF(391,65) = HCF(456,391) = HCF(847,456) = HCF(1303,847) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 8969 > 1, we apply the division lemma to 8969 and 1, to get
8969 = 1 x 8969 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 8969 is 1
Notice that 1 = HCF(8969,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 847, 1303, 8969 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 847, 1303, 8969?
Answer: HCF of 847, 1303, 8969 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 847, 1303, 8969 using Euclid's Algorithm?
Answer: For arbitrary numbers 847, 1303, 8969 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.