Highest Common Factor of 807, 9318 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 807, 9318 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 807, 9318 is 3 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 807, 9318 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 807, 9318 is 3.
HCF(807, 9318) = 3
HCF of 807, 9318 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 807, 9318 is 3.
Highest Common Factor of 807,9318 is 3
Step 1: Since 9318 > 807, we apply the division lemma to 9318 and 807, to get
9318 = 807 x 11 + 441
Step 2: Since the reminder 807 ≠ 0, we apply division lemma to 441 and 807, to get
807 = 441 x 1 + 366
Step 3: We consider the new divisor 441 and the new remainder 366, and apply the division lemma to get
441 = 366 x 1 + 75
We consider the new divisor 366 and the new remainder 75,and apply the division lemma to get
366 = 75 x 4 + 66
We consider the new divisor 75 and the new remainder 66,and apply the division lemma to get
75 = 66 x 1 + 9
We consider the new divisor 66 and the new remainder 9,and apply the division lemma to get
66 = 9 x 7 + 3
We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get
9 = 3 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 807 and 9318 is 3
Notice that 3 = HCF(9,3) = HCF(66,9) = HCF(75,66) = HCF(366,75) = HCF(441,366) = HCF(807,441) = HCF(9318,807) .
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Frequently Asked Questions on HCF of 807, 9318 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 807, 9318?
Answer: HCF of 807, 9318 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 807, 9318 using Euclid's Algorithm?
Answer: For arbitrary numbers 807, 9318 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.