Highest Common Factor of 709, 990, 941 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 709, 990, 941 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 709, 990, 941 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 709, 990, 941 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 709, 990, 941 is 1.
HCF(709, 990, 941) = 1
HCF of 709, 990, 941 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 709, 990, 941 is 1.
Highest Common Factor of 709,990,941 is 1
Step 1: Since 990 > 709, we apply the division lemma to 990 and 709, to get
990 = 709 x 1 + 281
Step 2: Since the reminder 709 ≠ 0, we apply division lemma to 281 and 709, to get
709 = 281 x 2 + 147
Step 3: We consider the new divisor 281 and the new remainder 147, and apply the division lemma to get
281 = 147 x 1 + 134
We consider the new divisor 147 and the new remainder 134,and apply the division lemma to get
147 = 134 x 1 + 13
We consider the new divisor 134 and the new remainder 13,and apply the division lemma to get
134 = 13 x 10 + 4
We consider the new divisor 13 and the new remainder 4,and apply the division lemma to get
13 = 4 x 3 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 709 and 990 is 1
Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(134,13) = HCF(147,134) = HCF(281,147) = HCF(709,281) = HCF(990,709) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 941 > 1, we apply the division lemma to 941 and 1, to get
941 = 1 x 941 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 941 is 1
Notice that 1 = HCF(941,1) .
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Frequently Asked Questions on HCF of 709, 990, 941 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 709, 990, 941?
Answer: HCF of 709, 990, 941 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 709, 990, 941 using Euclid's Algorithm?
Answer: For arbitrary numbers 709, 990, 941 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
