Highest Common Factor of 6928, 5375 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 6928, 5375 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6928, 5375 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 6928, 5375 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 6928, 5375 is 1.
HCF(6928, 5375) = 1
HCF of 6928, 5375 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6928, 5375 is 1.
Highest Common Factor of 6928,5375 is 1
Step 1: Since 6928 > 5375, we apply the division lemma to 6928 and 5375, to get
6928 = 5375 x 1 + 1553
Step 2: Since the reminder 5375 ≠ 0, we apply division lemma to 1553 and 5375, to get
5375 = 1553 x 3 + 716
Step 3: We consider the new divisor 1553 and the new remainder 716, and apply the division lemma to get
1553 = 716 x 2 + 121
We consider the new divisor 716 and the new remainder 121,and apply the division lemma to get
716 = 121 x 5 + 111
We consider the new divisor 121 and the new remainder 111,and apply the division lemma to get
121 = 111 x 1 + 10
We consider the new divisor 111 and the new remainder 10,and apply the division lemma to get
111 = 10 x 11 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6928 and 5375 is 1
Notice that 1 = HCF(10,1) = HCF(111,10) = HCF(121,111) = HCF(716,121) = HCF(1553,716) = HCF(5375,1553) = HCF(6928,5375) .
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Frequently Asked Questions on HCF of 6928, 5375 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 6928, 5375?
Answer: HCF of 6928, 5375 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6928, 5375 using Euclid's Algorithm?
Answer: For arbitrary numbers 6928, 5375 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.