Highest Common Factor of 359, 925, 291, 189 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 359, 925, 291, 189 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 359, 925, 291, 189 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 359, 925, 291, 189 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 359, 925, 291, 189 is 1.
HCF(359, 925, 291, 189) = 1
HCF of 359, 925, 291, 189 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 359, 925, 291, 189 is 1.
Highest Common Factor of 359,925,291,189 is 1
Step 1: Since 925 > 359, we apply the division lemma to 925 and 359, to get
925 = 359 x 2 + 207
Step 2: Since the reminder 359 ≠ 0, we apply division lemma to 207 and 359, to get
359 = 207 x 1 + 152
Step 3: We consider the new divisor 207 and the new remainder 152, and apply the division lemma to get
207 = 152 x 1 + 55
We consider the new divisor 152 and the new remainder 55,and apply the division lemma to get
152 = 55 x 2 + 42
We consider the new divisor 55 and the new remainder 42,and apply the division lemma to get
55 = 42 x 1 + 13
We consider the new divisor 42 and the new remainder 13,and apply the division lemma to get
42 = 13 x 3 + 3
We consider the new divisor 13 and the new remainder 3,and apply the division lemma to get
13 = 3 x 4 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 359 and 925 is 1
Notice that 1 = HCF(3,1) = HCF(13,3) = HCF(42,13) = HCF(55,42) = HCF(152,55) = HCF(207,152) = HCF(359,207) = HCF(925,359) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 291 > 1, we apply the division lemma to 291 and 1, to get
291 = 1 x 291 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 291 is 1
Notice that 1 = HCF(291,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 189 > 1, we apply the division lemma to 189 and 1, to get
189 = 1 x 189 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 189 is 1
Notice that 1 = HCF(189,1) .
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Frequently Asked Questions on HCF of 359, 925, 291, 189 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 359, 925, 291, 189?
Answer: HCF of 359, 925, 291, 189 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 359, 925, 291, 189 using Euclid's Algorithm?
Answer: For arbitrary numbers 359, 925, 291, 189 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.