Highest Common Factor of 5277, 7083 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 5277, 7083 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 5277, 7083 is 3 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 5277, 7083 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 5277, 7083 is 3.
HCF(5277, 7083) = 3
HCF of 5277, 7083 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5277, 7083 is 3.
Highest Common Factor of 5277,7083 is 3
Step 1: Since 7083 > 5277, we apply the division lemma to 7083 and 5277, to get
7083 = 5277 x 1 + 1806
Step 2: Since the reminder 5277 ≠ 0, we apply division lemma to 1806 and 5277, to get
5277 = 1806 x 2 + 1665
Step 3: We consider the new divisor 1806 and the new remainder 1665, and apply the division lemma to get
1806 = 1665 x 1 + 141
We consider the new divisor 1665 and the new remainder 141,and apply the division lemma to get
1665 = 141 x 11 + 114
We consider the new divisor 141 and the new remainder 114,and apply the division lemma to get
141 = 114 x 1 + 27
We consider the new divisor 114 and the new remainder 27,and apply the division lemma to get
114 = 27 x 4 + 6
We consider the new divisor 27 and the new remainder 6,and apply the division lemma to get
27 = 6 x 4 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 5277 and 7083 is 3
Notice that 3 = HCF(6,3) = HCF(27,6) = HCF(114,27) = HCF(141,114) = HCF(1665,141) = HCF(1806,1665) = HCF(5277,1806) = HCF(7083,5277) .
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Frequently Asked Questions on HCF of 5277, 7083 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 5277, 7083?
Answer: HCF of 5277, 7083 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5277, 7083 using Euclid's Algorithm?
Answer: For arbitrary numbers 5277, 7083 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
