Highest Common Factor of 969, 361, 742 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 969, 361, 742 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 969, 361, 742 is 1 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, 361, 742 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, 361, 742 is 1.
HCF(969, 361, 742) = 1
HCF of 969, 361, 742 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 969, 361, 742 is 1.
Highest Common Factor of 969,361,742 is 1
Step 1: Since 969 > 361, we apply the division lemma to 969 and 361, to get
969 = 361 x 2 + 247
Step 2: Since the reminder 361 ≠ 0, we apply division lemma to 247 and 361, to get
361 = 247 x 1 + 114
Step 3: We consider the new divisor 247 and the new remainder 114, and apply the division lemma to get
247 = 114 x 2 + 19
We consider the new divisor 114 and the new remainder 19, and apply the division lemma to get
114 = 19 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 19, the HCF of 969 and 361 is 19
Notice that 19 = HCF(114,19) = HCF(247,114) = HCF(361,247) = HCF(969,361) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 742 > 19, we apply the division lemma to 742 and 19, to get
742 = 19 x 39 + 1
Step 2: Since the reminder 19 ≠ 0, we apply division lemma to 1 and 19, to get
19 = 1 x 19 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 19 and 742 is 1
Notice that 1 = HCF(19,1) = HCF(742,19) .
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Frequently Asked Questions on HCF of 969, 361, 742 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 969, 361, 742?
Answer: HCF of 969, 361, 742 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 969, 361, 742 using Euclid's Algorithm?
Answer: For arbitrary numbers 969, 361, 742 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.