Highest Common Factor of 5960, 5094 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 5960, 5094 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5960, 5094 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 5960, 5094 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 5960, 5094 is 2.
HCF(5960, 5094) = 2
HCF of 5960, 5094 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5960, 5094 is 2.
Highest Common Factor of 5960,5094 is 2
Step 1: Since 5960 > 5094, we apply the division lemma to 5960 and 5094, to get
5960 = 5094 x 1 + 866
Step 2: Since the reminder 5094 ≠ 0, we apply division lemma to 866 and 5094, to get
5094 = 866 x 5 + 764
Step 3: We consider the new divisor 866 and the new remainder 764, and apply the division lemma to get
866 = 764 x 1 + 102
We consider the new divisor 764 and the new remainder 102,and apply the division lemma to get
764 = 102 x 7 + 50
We consider the new divisor 102 and the new remainder 50,and apply the division lemma to get
102 = 50 x 2 + 2
We consider the new divisor 50 and the new remainder 2,and apply the division lemma to get
50 = 2 x 25 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5960 and 5094 is 2
Notice that 2 = HCF(50,2) = HCF(102,50) = HCF(764,102) = HCF(866,764) = HCF(5094,866) = HCF(5960,5094) .
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Frequently Asked Questions on HCF of 5960, 5094 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 5960, 5094?
Answer: HCF of 5960, 5094 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5960, 5094 using Euclid's Algorithm?
Answer: For arbitrary numbers 5960, 5094 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.