Highest Common Factor of 7408, 7711 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 7408, 7711 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7408, 7711 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 7408, 7711 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 7408, 7711 is 1.
HCF(7408, 7711) = 1
HCF of 7408, 7711 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7408, 7711 is 1.
Highest Common Factor of 7408,7711 is 1
Step 1: Since 7711 > 7408, we apply the division lemma to 7711 and 7408, to get
7711 = 7408 x 1 + 303
Step 2: Since the reminder 7408 ≠ 0, we apply division lemma to 303 and 7408, to get
7408 = 303 x 24 + 136
Step 3: We consider the new divisor 303 and the new remainder 136, and apply the division lemma to get
303 = 136 x 2 + 31
We consider the new divisor 136 and the new remainder 31,and apply the division lemma to get
136 = 31 x 4 + 12
We consider the new divisor 31 and the new remainder 12,and apply the division lemma to get
31 = 12 x 2 + 7
We consider the new divisor 12 and the new remainder 7,and apply the division lemma to get
12 = 7 x 1 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7408 and 7711 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(12,7) = HCF(31,12) = HCF(136,31) = HCF(303,136) = HCF(7408,303) = HCF(7711,7408) .
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Frequently Asked Questions on HCF of 7408, 7711 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 7408, 7711?
Answer: HCF of 7408, 7711 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7408, 7711 using Euclid's Algorithm?
Answer: For arbitrary numbers 7408, 7711 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.