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 969, 558 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 969, 558 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 969, 558 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 969, 558 is 3.
HCF(969, 558) = 3
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 969, 558 is 3.
Step 1: Since 969 > 558, we apply the division lemma to 969 and 558, to get
969 = 558 x 1 + 411
Step 2: Since the reminder 558 ≠ 0, we apply division lemma to 411 and 558, to get
558 = 411 x 1 + 147
Step 3: We consider the new divisor 411 and the new remainder 147, and apply the division lemma to get
411 = 147 x 2 + 117
We consider the new divisor 147 and the new remainder 117,and apply the division lemma to get
147 = 117 x 1 + 30
We consider the new divisor 117 and the new remainder 30,and apply the division lemma to get
117 = 30 x 3 + 27
We consider the new divisor 30 and the new remainder 27,and apply the division lemma to get
30 = 27 x 1 + 3
We consider the new divisor 27 and the new remainder 3,and apply the division lemma to get
27 = 3 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 969 and 558 is 3
Notice that 3 = HCF(27,3) = HCF(30,27) = HCF(117,30) = HCF(147,117) = HCF(411,147) = HCF(558,411) = HCF(969,558) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 969, 558?
Answer: HCF of 969, 558 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 969, 558 using Euclid's Algorithm?
Answer: For arbitrary numbers 969, 558 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.