Highest Common Factor of 3047, 8770 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 3047, 8770 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3047, 8770 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 3047, 8770 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 3047, 8770 is 1.
HCF(3047, 8770) = 1
HCF of 3047, 8770 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3047, 8770 is 1.
Highest Common Factor of 3047,8770 is 1
Step 1: Since 8770 > 3047, we apply the division lemma to 8770 and 3047, to get
8770 = 3047 x 2 + 2676
Step 2: Since the reminder 3047 ≠ 0, we apply division lemma to 2676 and 3047, to get
3047 = 2676 x 1 + 371
Step 3: We consider the new divisor 2676 and the new remainder 371, and apply the division lemma to get
2676 = 371 x 7 + 79
We consider the new divisor 371 and the new remainder 79,and apply the division lemma to get
371 = 79 x 4 + 55
We consider the new divisor 79 and the new remainder 55,and apply the division lemma to get
79 = 55 x 1 + 24
We consider the new divisor 55 and the new remainder 24,and apply the division lemma to get
55 = 24 x 2 + 7
We consider the new divisor 24 and the new remainder 7,and apply the division lemma to get
24 = 7 x 3 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3047 and 8770 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(24,7) = HCF(55,24) = HCF(79,55) = HCF(371,79) = HCF(2676,371) = HCF(3047,2676) = HCF(8770,3047) .
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Frequently Asked Questions on HCF of 3047, 8770 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 3047, 8770?
Answer: HCF of 3047, 8770 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3047, 8770 using Euclid's Algorithm?
Answer: For arbitrary numbers 3047, 8770 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.