Highest Common Factor of 939, 8316 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 939, 8316 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 939, 8316 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 939, 8316 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 939, 8316 is 3.
HCF(939, 8316) = 3
HCF of 939, 8316 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 939, 8316 is 3.
Highest Common Factor of 939,8316 is 3
Step 1: Since 8316 > 939, we apply the division lemma to 8316 and 939, to get
8316 = 939 x 8 + 804
Step 2: Since the reminder 939 ≠ 0, we apply division lemma to 804 and 939, to get
939 = 804 x 1 + 135
Step 3: We consider the new divisor 804 and the new remainder 135, and apply the division lemma to get
804 = 135 x 5 + 129
We consider the new divisor 135 and the new remainder 129,and apply the division lemma to get
135 = 129 x 1 + 6
We consider the new divisor 129 and the new remainder 6,and apply the division lemma to get
129 = 6 x 21 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 939 and 8316 is 3
Notice that 3 = HCF(6,3) = HCF(129,6) = HCF(135,129) = HCF(804,135) = HCF(939,804) = HCF(8316,939) .
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Frequently Asked Questions on HCF of 939, 8316 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 939, 8316?
Answer: HCF of 939, 8316 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 939, 8316 using Euclid's Algorithm?
Answer: For arbitrary numbers 939, 8316 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.