Highest Common Factor of 5114, 7236 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 5114, 7236 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5114, 7236 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 5114, 7236 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 5114, 7236 is 2.
HCF(5114, 7236) = 2
HCF of 5114, 7236 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5114, 7236 is 2.
Highest Common Factor of 5114,7236 is 2
Step 1: Since 7236 > 5114, we apply the division lemma to 7236 and 5114, to get
7236 = 5114 x 1 + 2122
Step 2: Since the reminder 5114 ≠ 0, we apply division lemma to 2122 and 5114, to get
5114 = 2122 x 2 + 870
Step 3: We consider the new divisor 2122 and the new remainder 870, and apply the division lemma to get
2122 = 870 x 2 + 382
We consider the new divisor 870 and the new remainder 382,and apply the division lemma to get
870 = 382 x 2 + 106
We consider the new divisor 382 and the new remainder 106,and apply the division lemma to get
382 = 106 x 3 + 64
We consider the new divisor 106 and the new remainder 64,and apply the division lemma to get
106 = 64 x 1 + 42
We consider the new divisor 64 and the new remainder 42,and apply the division lemma to get
64 = 42 x 1 + 22
We consider the new divisor 42 and the new remainder 22,and apply the division lemma to get
42 = 22 x 1 + 20
We consider the new divisor 22 and the new remainder 20,and apply the division lemma to get
22 = 20 x 1 + 2
We consider the new divisor 20 and the new remainder 2,and apply the division lemma to get
20 = 2 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5114 and 7236 is 2
Notice that 2 = HCF(20,2) = HCF(22,20) = HCF(42,22) = HCF(64,42) = HCF(106,64) = HCF(382,106) = HCF(870,382) = HCF(2122,870) = HCF(5114,2122) = HCF(7236,5114) .
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Frequently Asked Questions on HCF of 5114, 7236 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 5114, 7236?
Answer: HCF of 5114, 7236 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5114, 7236 using Euclid's Algorithm?
Answer: For arbitrary numbers 5114, 7236 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.