Highest Common Factor of 7869, 1677 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 7869, 1677 i.e. 129 the largest integer that leaves a remainder zero for all numbers.
HCF of 7869, 1677 is 129 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 7869, 1677 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 7869, 1677 is 129.
HCF(7869, 1677) = 129
HCF of 7869, 1677 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7869, 1677 is 129.
Highest Common Factor of 7869,1677 is 129
Step 1: Since 7869 > 1677, we apply the division lemma to 7869 and 1677, to get
7869 = 1677 x 4 + 1161
Step 2: Since the reminder 1677 ≠ 0, we apply division lemma to 1161 and 1677, to get
1677 = 1161 x 1 + 516
Step 3: We consider the new divisor 1161 and the new remainder 516, and apply the division lemma to get
1161 = 516 x 2 + 129
We consider the new divisor 516 and the new remainder 129, and apply the division lemma to get
516 = 129 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 129, the HCF of 7869 and 1677 is 129
Notice that 129 = HCF(516,129) = HCF(1161,516) = HCF(1677,1161) = HCF(7869,1677) .
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Frequently Asked Questions on HCF of 7869, 1677 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 7869, 1677?
Answer: HCF of 7869, 1677 is 129 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7869, 1677 using Euclid's Algorithm?
Answer: For arbitrary numbers 7869, 1677 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.