Highest Common Factor of 7614, 6639 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 7614, 6639 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 7614, 6639 is 3 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 7614, 6639 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 7614, 6639 is 3.
HCF(7614, 6639) = 3
HCF of 7614, 6639 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7614, 6639 is 3.
Highest Common Factor of 7614,6639 is 3
Step 1: Since 7614 > 6639, we apply the division lemma to 7614 and 6639, to get
7614 = 6639 x 1 + 975
Step 2: Since the reminder 6639 ≠ 0, we apply division lemma to 975 and 6639, to get
6639 = 975 x 6 + 789
Step 3: We consider the new divisor 975 and the new remainder 789, and apply the division lemma to get
975 = 789 x 1 + 186
We consider the new divisor 789 and the new remainder 186,and apply the division lemma to get
789 = 186 x 4 + 45
We consider the new divisor 186 and the new remainder 45,and apply the division lemma to get
186 = 45 x 4 + 6
We consider the new divisor 45 and the new remainder 6,and apply the division lemma to get
45 = 6 x 7 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 7614 and 6639 is 3
Notice that 3 = HCF(6,3) = HCF(45,6) = HCF(186,45) = HCF(789,186) = HCF(975,789) = HCF(6639,975) = HCF(7614,6639) .
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Frequently Asked Questions on HCF of 7614, 6639 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 7614, 6639?
Answer: HCF of 7614, 6639 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7614, 6639 using Euclid's Algorithm?
Answer: For arbitrary numbers 7614, 6639 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.