Highest Common Factor of 7388, 7911 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 7388, 7911 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7388, 7911 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 7388, 7911 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 7388, 7911 is 1.
HCF(7388, 7911) = 1
HCF of 7388, 7911 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7388, 7911 is 1.
Highest Common Factor of 7388,7911 is 1
Step 1: Since 7911 > 7388, we apply the division lemma to 7911 and 7388, to get
7911 = 7388 x 1 + 523
Step 2: Since the reminder 7388 ≠ 0, we apply division lemma to 523 and 7388, to get
7388 = 523 x 14 + 66
Step 3: We consider the new divisor 523 and the new remainder 66, and apply the division lemma to get
523 = 66 x 7 + 61
We consider the new divisor 66 and the new remainder 61,and apply the division lemma to get
66 = 61 x 1 + 5
We consider the new divisor 61 and the new remainder 5,and apply the division lemma to get
61 = 5 x 12 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7388 and 7911 is 1
Notice that 1 = HCF(5,1) = HCF(61,5) = HCF(66,61) = HCF(523,66) = HCF(7388,523) = HCF(7911,7388) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 7388, 7911 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 7388, 7911?
Answer: HCF of 7388, 7911 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7388, 7911 using Euclid's Algorithm?
Answer: For arbitrary numbers 7388, 7911 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
