Highest Common Factor of 7176, 5344 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 7176, 5344 i.e. 8 the largest integer that leaves a remainder zero for all numbers.
HCF of 7176, 5344 is 8 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 7176, 5344 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 7176, 5344 is 8.
HCF(7176, 5344) = 8
HCF of 7176, 5344 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7176, 5344 is 8.
Highest Common Factor of 7176,5344 is 8
Step 1: Since 7176 > 5344, we apply the division lemma to 7176 and 5344, to get
7176 = 5344 x 1 + 1832
Step 2: Since the reminder 5344 ≠ 0, we apply division lemma to 1832 and 5344, to get
5344 = 1832 x 2 + 1680
Step 3: We consider the new divisor 1832 and the new remainder 1680, and apply the division lemma to get
1832 = 1680 x 1 + 152
We consider the new divisor 1680 and the new remainder 152,and apply the division lemma to get
1680 = 152 x 11 + 8
We consider the new divisor 152 and the new remainder 8,and apply the division lemma to get
152 = 8 x 19 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 7176 and 5344 is 8
Notice that 8 = HCF(152,8) = HCF(1680,152) = HCF(1832,1680) = HCF(5344,1832) = HCF(7176,5344) .
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Frequently Asked Questions on HCF of 7176, 5344 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 7176, 5344?
Answer: HCF of 7176, 5344 is 8 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7176, 5344 using Euclid's Algorithm?
Answer: For arbitrary numbers 7176, 5344 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.