Highest Common Factor of 5738, 7922 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 5738, 7922 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5738, 7922 is 2 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 5738, 7922 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 5738, 7922 is 2.
HCF(5738, 7922) = 2
HCF of 5738, 7922 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5738, 7922 is 2.
Highest Common Factor of 5738,7922 is 2
Step 1: Since 7922 > 5738, we apply the division lemma to 7922 and 5738, to get
7922 = 5738 x 1 + 2184
Step 2: Since the reminder 5738 ≠ 0, we apply division lemma to 2184 and 5738, to get
5738 = 2184 x 2 + 1370
Step 3: We consider the new divisor 2184 and the new remainder 1370, and apply the division lemma to get
2184 = 1370 x 1 + 814
We consider the new divisor 1370 and the new remainder 814,and apply the division lemma to get
1370 = 814 x 1 + 556
We consider the new divisor 814 and the new remainder 556,and apply the division lemma to get
814 = 556 x 1 + 258
We consider the new divisor 556 and the new remainder 258,and apply the division lemma to get
556 = 258 x 2 + 40
We consider the new divisor 258 and the new remainder 40,and apply the division lemma to get
258 = 40 x 6 + 18
We consider the new divisor 40 and the new remainder 18,and apply the division lemma to get
40 = 18 x 2 + 4
We consider the new divisor 18 and the new remainder 4,and apply the division lemma to get
18 = 4 x 4 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5738 and 7922 is 2
Notice that 2 = HCF(4,2) = HCF(18,4) = HCF(40,18) = HCF(258,40) = HCF(556,258) = HCF(814,556) = HCF(1370,814) = HCF(2184,1370) = HCF(5738,2184) = HCF(7922,5738) .
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Frequently Asked Questions on HCF of 5738, 7922 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 5738, 7922?
Answer: HCF of 5738, 7922 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5738, 7922 using Euclid's Algorithm?
Answer: For arbitrary numbers 5738, 7922 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.