Highest Common Factor of 935, 660, 641, 869 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 935, 660, 641, 869 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 935, 660, 641, 869 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 935, 660, 641, 869 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 935, 660, 641, 869 is 1.
HCF(935, 660, 641, 869) = 1
HCF of 935, 660, 641, 869 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 935, 660, 641, 869 is 1.
Highest Common Factor of 935,660,641,869 is 1
Step 1: Since 935 > 660, we apply the division lemma to 935 and 660, to get
935 = 660 x 1 + 275
Step 2: Since the reminder 660 ≠ 0, we apply division lemma to 275 and 660, to get
660 = 275 x 2 + 110
Step 3: We consider the new divisor 275 and the new remainder 110, and apply the division lemma to get
275 = 110 x 2 + 55
We consider the new divisor 110 and the new remainder 55, and apply the division lemma to get
110 = 55 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 55, the HCF of 935 and 660 is 55
Notice that 55 = HCF(110,55) = HCF(275,110) = HCF(660,275) = HCF(935,660) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 641 > 55, we apply the division lemma to 641 and 55, to get
641 = 55 x 11 + 36
Step 2: Since the reminder 55 ≠ 0, we apply division lemma to 36 and 55, to get
55 = 36 x 1 + 19
Step 3: We consider the new divisor 36 and the new remainder 19, and apply the division lemma to get
36 = 19 x 1 + 17
We consider the new divisor 19 and the new remainder 17,and apply the division lemma to get
19 = 17 x 1 + 2
We consider the new divisor 17 and the new remainder 2,and apply the division lemma to get
17 = 2 x 8 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 55 and 641 is 1
Notice that 1 = HCF(2,1) = HCF(17,2) = HCF(19,17) = HCF(36,19) = HCF(55,36) = HCF(641,55) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 869 > 1, we apply the division lemma to 869 and 1, to get
869 = 1 x 869 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 869 is 1
Notice that 1 = HCF(869,1) .
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Frequently Asked Questions on HCF of 935, 660, 641, 869 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 935, 660, 641, 869?
Answer: HCF of 935, 660, 641, 869 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 935, 660, 641, 869 using Euclid's Algorithm?
Answer: For arbitrary numbers 935, 660, 641, 869 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.