Highest Common Factor of 5876, 4674 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 5876, 4674 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5876, 4674 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 5876, 4674 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 5876, 4674 is 2.
HCF(5876, 4674) = 2
HCF of 5876, 4674 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5876, 4674 is 2.
Highest Common Factor of 5876,4674 is 2
Step 1: Since 5876 > 4674, we apply the division lemma to 5876 and 4674, to get
5876 = 4674 x 1 + 1202
Step 2: Since the reminder 4674 ≠ 0, we apply division lemma to 1202 and 4674, to get
4674 = 1202 x 3 + 1068
Step 3: We consider the new divisor 1202 and the new remainder 1068, and apply the division lemma to get
1202 = 1068 x 1 + 134
We consider the new divisor 1068 and the new remainder 134,and apply the division lemma to get
1068 = 134 x 7 + 130
We consider the new divisor 134 and the new remainder 130,and apply the division lemma to get
134 = 130 x 1 + 4
We consider the new divisor 130 and the new remainder 4,and apply the division lemma to get
130 = 4 x 32 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5876 and 4674 is 2
Notice that 2 = HCF(4,2) = HCF(130,4) = HCF(134,130) = HCF(1068,134) = HCF(1202,1068) = HCF(4674,1202) = HCF(5876,4674) .
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Frequently Asked Questions on HCF of 5876, 4674 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 5876, 4674?
Answer: HCF of 5876, 4674 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5876, 4674 using Euclid's Algorithm?
Answer: For arbitrary numbers 5876, 4674 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
