Highest Common Factor of 5194, 8070 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 5194, 8070 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5194, 8070 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 5194, 8070 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 5194, 8070 is 2.
HCF(5194, 8070) = 2
HCF of 5194, 8070 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5194, 8070 is 2.
Highest Common Factor of 5194,8070 is 2
Step 1: Since 8070 > 5194, we apply the division lemma to 8070 and 5194, to get
8070 = 5194 x 1 + 2876
Step 2: Since the reminder 5194 ≠ 0, we apply division lemma to 2876 and 5194, to get
5194 = 2876 x 1 + 2318
Step 3: We consider the new divisor 2876 and the new remainder 2318, and apply the division lemma to get
2876 = 2318 x 1 + 558
We consider the new divisor 2318 and the new remainder 558,and apply the division lemma to get
2318 = 558 x 4 + 86
We consider the new divisor 558 and the new remainder 86,and apply the division lemma to get
558 = 86 x 6 + 42
We consider the new divisor 86 and the new remainder 42,and apply the division lemma to get
86 = 42 x 2 + 2
We consider the new divisor 42 and the new remainder 2,and apply the division lemma to get
42 = 2 x 21 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5194 and 8070 is 2
Notice that 2 = HCF(42,2) = HCF(86,42) = HCF(558,86) = HCF(2318,558) = HCF(2876,2318) = HCF(5194,2876) = HCF(8070,5194) .
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Frequently Asked Questions on HCF of 5194, 8070 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 5194, 8070?
Answer: HCF of 5194, 8070 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5194, 8070 using Euclid's Algorithm?
Answer: For arbitrary numbers 5194, 8070 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.