Highest Common Factor of 7928, 2179 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 7928, 2179 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7928, 2179 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 7928, 2179 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 7928, 2179 is 1.
HCF(7928, 2179) = 1
HCF of 7928, 2179 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7928, 2179 is 1.
Highest Common Factor of 7928,2179 is 1
Step 1: Since 7928 > 2179, we apply the division lemma to 7928 and 2179, to get
7928 = 2179 x 3 + 1391
Step 2: Since the reminder 2179 ≠ 0, we apply division lemma to 1391 and 2179, to get
2179 = 1391 x 1 + 788
Step 3: We consider the new divisor 1391 and the new remainder 788, and apply the division lemma to get
1391 = 788 x 1 + 603
We consider the new divisor 788 and the new remainder 603,and apply the division lemma to get
788 = 603 x 1 + 185
We consider the new divisor 603 and the new remainder 185,and apply the division lemma to get
603 = 185 x 3 + 48
We consider the new divisor 185 and the new remainder 48,and apply the division lemma to get
185 = 48 x 3 + 41
We consider the new divisor 48 and the new remainder 41,and apply the division lemma to get
48 = 41 x 1 + 7
We consider the new divisor 41 and the new remainder 7,and apply the division lemma to get
41 = 7 x 5 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7928 and 2179 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(41,7) = HCF(48,41) = HCF(185,48) = HCF(603,185) = HCF(788,603) = HCF(1391,788) = HCF(2179,1391) = HCF(7928,2179) .
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Frequently Asked Questions on HCF of 7928, 2179 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 7928, 2179?
Answer: HCF of 7928, 2179 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7928, 2179 using Euclid's Algorithm?
Answer: For arbitrary numbers 7928, 2179 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.