Highest Common Factor of 6375, 9777 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 6375, 9777 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 6375, 9777 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 6375, 9777 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 6375, 9777 is 3.
HCF(6375, 9777) = 3
HCF of 6375, 9777 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6375, 9777 is 3.
Highest Common Factor of 6375,9777 is 3
Step 1: Since 9777 > 6375, we apply the division lemma to 9777 and 6375, to get
9777 = 6375 x 1 + 3402
Step 2: Since the reminder 6375 ≠ 0, we apply division lemma to 3402 and 6375, to get
6375 = 3402 x 1 + 2973
Step 3: We consider the new divisor 3402 and the new remainder 2973, and apply the division lemma to get
3402 = 2973 x 1 + 429
We consider the new divisor 2973 and the new remainder 429,and apply the division lemma to get
2973 = 429 x 6 + 399
We consider the new divisor 429 and the new remainder 399,and apply the division lemma to get
429 = 399 x 1 + 30
We consider the new divisor 399 and the new remainder 30,and apply the division lemma to get
399 = 30 x 13 + 9
We consider the new divisor 30 and the new remainder 9,and apply the division lemma to get
30 = 9 x 3 + 3
We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get
9 = 3 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 6375 and 9777 is 3
Notice that 3 = HCF(9,3) = HCF(30,9) = HCF(399,30) = HCF(429,399) = HCF(2973,429) = HCF(3402,2973) = HCF(6375,3402) = HCF(9777,6375) .
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Frequently Asked Questions on HCF of 6375, 9777 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 6375, 9777?
Answer: HCF of 6375, 9777 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6375, 9777 using Euclid's Algorithm?
Answer: For arbitrary numbers 6375, 9777 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.