Highest Common Factor of 945, 57789 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 945, 57789 i.e. 9 the largest integer that leaves a remainder zero for all numbers.
HCF of 945, 57789 is 9 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 945, 57789 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 945, 57789 is 9.
HCF(945, 57789) = 9
HCF of 945, 57789 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 945, 57789 is 9.
Highest Common Factor of 945,57789 is 9
Step 1: Since 57789 > 945, we apply the division lemma to 57789 and 945, to get
57789 = 945 x 61 + 144
Step 2: Since the reminder 945 ≠ 0, we apply division lemma to 144 and 945, to get
945 = 144 x 6 + 81
Step 3: We consider the new divisor 144 and the new remainder 81, and apply the division lemma to get
144 = 81 x 1 + 63
We consider the new divisor 81 and the new remainder 63,and apply the division lemma to get
81 = 63 x 1 + 18
We consider the new divisor 63 and the new remainder 18,and apply the division lemma to get
63 = 18 x 3 + 9
We consider the new divisor 18 and the new remainder 9,and apply the division lemma to get
18 = 9 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 945 and 57789 is 9
Notice that 9 = HCF(18,9) = HCF(63,18) = HCF(81,63) = HCF(144,81) = HCF(945,144) = HCF(57789,945) .
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Frequently Asked Questions on HCF of 945, 57789 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 945, 57789?
Answer: HCF of 945, 57789 is 9 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 945, 57789 using Euclid's Algorithm?
Answer: For arbitrary numbers 945, 57789 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.