Highest Common Factor of 635, 986, 926, 136 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 635, 986, 926, 136 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 635, 986, 926, 136 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 635, 986, 926, 136 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 635, 986, 926, 136 is 1.
HCF(635, 986, 926, 136) = 1
HCF of 635, 986, 926, 136 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 635, 986, 926, 136 is 1.
Highest Common Factor of 635,986,926,136 is 1
Step 1: Since 986 > 635, we apply the division lemma to 986 and 635, to get
986 = 635 x 1 + 351
Step 2: Since the reminder 635 ≠ 0, we apply division lemma to 351 and 635, to get
635 = 351 x 1 + 284
Step 3: We consider the new divisor 351 and the new remainder 284, and apply the division lemma to get
351 = 284 x 1 + 67
We consider the new divisor 284 and the new remainder 67,and apply the division lemma to get
284 = 67 x 4 + 16
We consider the new divisor 67 and the new remainder 16,and apply the division lemma to get
67 = 16 x 4 + 3
We consider the new divisor 16 and the new remainder 3,and apply the division lemma to get
16 = 3 x 5 + 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 635 and 986 is 1
Notice that 1 = HCF(3,1) = HCF(16,3) = HCF(67,16) = HCF(284,67) = HCF(351,284) = HCF(635,351) = HCF(986,635) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 926 > 1, we apply the division lemma to 926 and 1, to get
926 = 1 x 926 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 926 is 1
Notice that 1 = HCF(926,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 136 > 1, we apply the division lemma to 136 and 1, to get
136 = 1 x 136 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 136 is 1
Notice that 1 = HCF(136,1) .
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Frequently Asked Questions on HCF of 635, 986, 926, 136 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 635, 986, 926, 136?
Answer: HCF of 635, 986, 926, 136 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 635, 986, 926, 136 using Euclid's Algorithm?
Answer: For arbitrary numbers 635, 986, 926, 136 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.