Highest Common Factor of 275, 940, 980, 686 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 275, 940, 980, 686 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 275, 940, 980, 686 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 275, 940, 980, 686 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 275, 940, 980, 686 is 1.
HCF(275, 940, 980, 686) = 1
HCF of 275, 940, 980, 686 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 275, 940, 980, 686 is 1.
Highest Common Factor of 275,940,980,686 is 1
Step 1: Since 940 > 275, we apply the division lemma to 940 and 275, to get
940 = 275 x 3 + 115
Step 2: Since the reminder 275 ≠ 0, we apply division lemma to 115 and 275, to get
275 = 115 x 2 + 45
Step 3: We consider the new divisor 115 and the new remainder 45, and apply the division lemma to get
115 = 45 x 2 + 25
We consider the new divisor 45 and the new remainder 25,and apply the division lemma to get
45 = 25 x 1 + 20
We consider the new divisor 25 and the new remainder 20,and apply the division lemma to get
25 = 20 x 1 + 5
We consider the new divisor 20 and the new remainder 5,and apply the division lemma to get
20 = 5 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 275 and 940 is 5
Notice that 5 = HCF(20,5) = HCF(25,20) = HCF(45,25) = HCF(115,45) = HCF(275,115) = HCF(940,275) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 980 > 5, we apply the division lemma to 980 and 5, to get
980 = 5 x 196 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 5 and 980 is 5
Notice that 5 = HCF(980,5) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 686 > 5, we apply the division lemma to 686 and 5, to get
686 = 5 x 137 + 1
Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 1 and 5, to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5 and 686 is 1
Notice that 1 = HCF(5,1) = HCF(686,5) .
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Frequently Asked Questions on HCF of 275, 940, 980, 686 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 275, 940, 980, 686?
Answer: HCF of 275, 940, 980, 686 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 275, 940, 980, 686 using Euclid's Algorithm?
Answer: For arbitrary numbers 275, 940, 980, 686 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.