Highest Common Factor of 939, 699 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, 699 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 939, 699 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, 699 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, 699 is 3.
HCF(939, 699) = 3
HCF of 939, 699 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, 699 is 3.
Highest Common Factor of 939,699 is 3
Step 1: Since 939 > 699, we apply the division lemma to 939 and 699, to get
939 = 699 x 1 + 240
Step 2: Since the reminder 699 ≠ 0, we apply division lemma to 240 and 699, to get
699 = 240 x 2 + 219
Step 3: We consider the new divisor 240 and the new remainder 219, and apply the division lemma to get
240 = 219 x 1 + 21
We consider the new divisor 219 and the new remainder 21,and apply the division lemma to get
219 = 21 x 10 + 9
We consider the new divisor 21 and the new remainder 9,and apply the division lemma to get
21 = 9 x 2 + 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 939 and 699 is 3
Notice that 3 = HCF(9,3) = HCF(21,9) = HCF(219,21) = HCF(240,219) = HCF(699,240) = HCF(939,699) .
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Frequently Asked Questions on HCF of 939, 699 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, 699?
Answer: HCF of 939, 699 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 939, 699 using Euclid's Algorithm?
Answer: For arbitrary numbers 939, 699 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.