Highest Common Factor of 969, 277, 86, 329 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, 277, 86, 329 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 969, 277, 86, 329 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, 277, 86, 329 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, 277, 86, 329 is 1.
HCF(969, 277, 86, 329) = 1
HCF of 969, 277, 86, 329 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, 277, 86, 329 is 1.
Highest Common Factor of 969,277,86,329 is 1
Step 1: Since 969 > 277, we apply the division lemma to 969 and 277, to get
969 = 277 x 3 + 138
Step 2: Since the reminder 277 ≠ 0, we apply division lemma to 138 and 277, to get
277 = 138 x 2 + 1
Step 3: We consider the new divisor 138 and the new remainder 1, and apply the division lemma to get
138 = 1 x 138 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 969 and 277 is 1
Notice that 1 = HCF(138,1) = HCF(277,138) = HCF(969,277) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 86 > 1, we apply the division lemma to 86 and 1, to get
86 = 1 x 86 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 86 is 1
Notice that 1 = HCF(86,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 329 > 1, we apply the division lemma to 329 and 1, to get
329 = 1 x 329 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 329 is 1
Notice that 1 = HCF(329,1) .
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Frequently Asked Questions on HCF of 969, 277, 86, 329 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, 277, 86, 329?
Answer: HCF of 969, 277, 86, 329 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 969, 277, 86, 329 using Euclid's Algorithm?
Answer: For arbitrary numbers 969, 277, 86, 329 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.