Highest Common Factor of 7844, 5065 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 7844, 5065 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7844, 5065 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 7844, 5065 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 7844, 5065 is 1.
HCF(7844, 5065) = 1
HCF of 7844, 5065 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7844, 5065 is 1.
Highest Common Factor of 7844,5065 is 1
Step 1: Since 7844 > 5065, we apply the division lemma to 7844 and 5065, to get
7844 = 5065 x 1 + 2779
Step 2: Since the reminder 5065 ≠ 0, we apply division lemma to 2779 and 5065, to get
5065 = 2779 x 1 + 2286
Step 3: We consider the new divisor 2779 and the new remainder 2286, and apply the division lemma to get
2779 = 2286 x 1 + 493
We consider the new divisor 2286 and the new remainder 493,and apply the division lemma to get
2286 = 493 x 4 + 314
We consider the new divisor 493 and the new remainder 314,and apply the division lemma to get
493 = 314 x 1 + 179
We consider the new divisor 314 and the new remainder 179,and apply the division lemma to get
314 = 179 x 1 + 135
We consider the new divisor 179 and the new remainder 135,and apply the division lemma to get
179 = 135 x 1 + 44
We consider the new divisor 135 and the new remainder 44,and apply the division lemma to get
135 = 44 x 3 + 3
We consider the new divisor 44 and the new remainder 3,and apply the division lemma to get
44 = 3 x 14 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 7844 and 5065 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(44,3) = HCF(135,44) = HCF(179,135) = HCF(314,179) = HCF(493,314) = HCF(2286,493) = HCF(2779,2286) = HCF(5065,2779) = HCF(7844,5065) .
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Frequently Asked Questions on HCF of 7844, 5065 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 7844, 5065?
Answer: HCF of 7844, 5065 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7844, 5065 using Euclid's Algorithm?
Answer: For arbitrary numbers 7844, 5065 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.