Highest Common Factor of 109, 293, 946, 853 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 109, 293, 946, 853 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 109, 293, 946, 853 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 109, 293, 946, 853 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 109, 293, 946, 853 is 1.
HCF(109, 293, 946, 853) = 1
HCF of 109, 293, 946, 853 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 109, 293, 946, 853 is 1.
Highest Common Factor of 109,293,946,853 is 1
Step 1: Since 293 > 109, we apply the division lemma to 293 and 109, to get
293 = 109 x 2 + 75
Step 2: Since the reminder 109 ≠ 0, we apply division lemma to 75 and 109, to get
109 = 75 x 1 + 34
Step 3: We consider the new divisor 75 and the new remainder 34, and apply the division lemma to get
75 = 34 x 2 + 7
We consider the new divisor 34 and the new remainder 7,and apply the division lemma to get
34 = 7 x 4 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 109 and 293 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(34,7) = HCF(75,34) = HCF(109,75) = HCF(293,109) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 946 > 1, we apply the division lemma to 946 and 1, to get
946 = 1 x 946 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 946 is 1
Notice that 1 = HCF(946,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 853 > 1, we apply the division lemma to 853 and 1, to get
853 = 1 x 853 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 853 is 1
Notice that 1 = HCF(853,1) .
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Frequently Asked Questions on HCF of 109, 293, 946, 853 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 109, 293, 946, 853?
Answer: HCF of 109, 293, 946, 853 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 109, 293, 946, 853 using Euclid's Algorithm?
Answer: For arbitrary numbers 109, 293, 946, 853 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.