Highest Common Factor of 711, 7413, 2340 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 711, 7413, 2340 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 711, 7413, 2340 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 711, 7413, 2340 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 711, 7413, 2340 is 3.
HCF(711, 7413, 2340) = 3
HCF of 711, 7413, 2340 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 711, 7413, 2340 is 3.
Highest Common Factor of 711,7413,2340 is 3
Step 1: Since 7413 > 711, we apply the division lemma to 7413 and 711, to get
7413 = 711 x 10 + 303
Step 2: Since the reminder 711 ≠ 0, we apply division lemma to 303 and 711, to get
711 = 303 x 2 + 105
Step 3: We consider the new divisor 303 and the new remainder 105, and apply the division lemma to get
303 = 105 x 2 + 93
We consider the new divisor 105 and the new remainder 93,and apply the division lemma to get
105 = 93 x 1 + 12
We consider the new divisor 93 and the new remainder 12,and apply the division lemma to get
93 = 12 x 7 + 9
We consider the new divisor 12 and the new remainder 9,and apply the division lemma to get
12 = 9 x 1 + 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 711 and 7413 is 3
Notice that 3 = HCF(9,3) = HCF(12,9) = HCF(93,12) = HCF(105,93) = HCF(303,105) = HCF(711,303) = HCF(7413,711) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 2340 > 3, we apply the division lemma to 2340 and 3, to get
2340 = 3 x 780 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3 and 2340 is 3
Notice that 3 = HCF(2340,3) .
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Frequently Asked Questions on HCF of 711, 7413, 2340 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 711, 7413, 2340?
Answer: HCF of 711, 7413, 2340 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 711, 7413, 2340 using Euclid's Algorithm?
Answer: For arbitrary numbers 711, 7413, 2340 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.