Highest Common Factor of 3102, 5874 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 3102, 5874 i.e. 66 the largest integer that leaves a remainder zero for all numbers.
HCF of 3102, 5874 is 66 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 3102, 5874 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 3102, 5874 is 66.
HCF(3102, 5874) = 66
HCF of 3102, 5874 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3102, 5874 is 66.
Highest Common Factor of 3102,5874 is 66
Step 1: Since 5874 > 3102, we apply the division lemma to 5874 and 3102, to get
5874 = 3102 x 1 + 2772
Step 2: Since the reminder 3102 ≠ 0, we apply division lemma to 2772 and 3102, to get
3102 = 2772 x 1 + 330
Step 3: We consider the new divisor 2772 and the new remainder 330, and apply the division lemma to get
2772 = 330 x 8 + 132
We consider the new divisor 330 and the new remainder 132,and apply the division lemma to get
330 = 132 x 2 + 66
We consider the new divisor 132 and the new remainder 66,and apply the division lemma to get
132 = 66 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 66, the HCF of 3102 and 5874 is 66
Notice that 66 = HCF(132,66) = HCF(330,132) = HCF(2772,330) = HCF(3102,2772) = HCF(5874,3102) .
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Frequently Asked Questions on HCF of 3102, 5874 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 3102, 5874?
Answer: HCF of 3102, 5874 is 66 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3102, 5874 using Euclid's Algorithm?
Answer: For arbitrary numbers 3102, 5874 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
