Highest Common Factor of 5778, 6909 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 5778, 6909 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 5778, 6909 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 5778, 6909 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 5778, 6909 is 3.
HCF(5778, 6909) = 3
HCF of 5778, 6909 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5778, 6909 is 3.
Highest Common Factor of 5778,6909 is 3
Step 1: Since 6909 > 5778, we apply the division lemma to 6909 and 5778, to get
6909 = 5778 x 1 + 1131
Step 2: Since the reminder 5778 ≠ 0, we apply division lemma to 1131 and 5778, to get
5778 = 1131 x 5 + 123
Step 3: We consider the new divisor 1131 and the new remainder 123, and apply the division lemma to get
1131 = 123 x 9 + 24
We consider the new divisor 123 and the new remainder 24,and apply the division lemma to get
123 = 24 x 5 + 3
We consider the new divisor 24 and the new remainder 3,and apply the division lemma to get
24 = 3 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 5778 and 6909 is 3
Notice that 3 = HCF(24,3) = HCF(123,24) = HCF(1131,123) = HCF(5778,1131) = HCF(6909,5778) .
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Frequently Asked Questions on HCF of 5778, 6909 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 5778, 6909?
Answer: HCF of 5778, 6909 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5778, 6909 using Euclid's Algorithm?
Answer: For arbitrary numbers 5778, 6909 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.