Highest Common Factor of 5501, 7879 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 5501, 7879 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5501, 7879 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 5501, 7879 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 5501, 7879 is 1.
HCF(5501, 7879) = 1
HCF of 5501, 7879 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5501, 7879 is 1.
Highest Common Factor of 5501,7879 is 1
Step 1: Since 7879 > 5501, we apply the division lemma to 7879 and 5501, to get
7879 = 5501 x 1 + 2378
Step 2: Since the reminder 5501 ≠ 0, we apply division lemma to 2378 and 5501, to get
5501 = 2378 x 2 + 745
Step 3: We consider the new divisor 2378 and the new remainder 745, and apply the division lemma to get
2378 = 745 x 3 + 143
We consider the new divisor 745 and the new remainder 143,and apply the division lemma to get
745 = 143 x 5 + 30
We consider the new divisor 143 and the new remainder 30,and apply the division lemma to get
143 = 30 x 4 + 23
We consider the new divisor 30 and the new remainder 23,and apply the division lemma to get
30 = 23 x 1 + 7
We consider the new divisor 23 and the new remainder 7,and apply the division lemma to get
23 = 7 x 3 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 5501 and 7879 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(23,7) = HCF(30,23) = HCF(143,30) = HCF(745,143) = HCF(2378,745) = HCF(5501,2378) = HCF(7879,5501) .
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Frequently Asked Questions on HCF of 5501, 7879 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 5501, 7879?
Answer: HCF of 5501, 7879 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5501, 7879 using Euclid's Algorithm?
Answer: For arbitrary numbers 5501, 7879 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.