Highest Common Factor of 601, 994, 929, 280 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 601, 994, 929, 280 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 601, 994, 929, 280 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 601, 994, 929, 280 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 601, 994, 929, 280 is 1.
HCF(601, 994, 929, 280) = 1
HCF of 601, 994, 929, 280 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 601, 994, 929, 280 is 1.
Highest Common Factor of 601,994,929,280 is 1
Step 1: Since 994 > 601, we apply the division lemma to 994 and 601, to get
994 = 601 x 1 + 393
Step 2: Since the reminder 601 ≠ 0, we apply division lemma to 393 and 601, to get
601 = 393 x 1 + 208
Step 3: We consider the new divisor 393 and the new remainder 208, and apply the division lemma to get
393 = 208 x 1 + 185
We consider the new divisor 208 and the new remainder 185,and apply the division lemma to get
208 = 185 x 1 + 23
We consider the new divisor 185 and the new remainder 23,and apply the division lemma to get
185 = 23 x 8 + 1
We consider the new divisor 23 and the new remainder 1,and apply the division lemma to get
23 = 1 x 23 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 601 and 994 is 1
Notice that 1 = HCF(23,1) = HCF(185,23) = HCF(208,185) = HCF(393,208) = HCF(601,393) = HCF(994,601) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 929 > 1, we apply the division lemma to 929 and 1, to get
929 = 1 x 929 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 929 is 1
Notice that 1 = HCF(929,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 280 > 1, we apply the division lemma to 280 and 1, to get
280 = 1 x 280 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 280 is 1
Notice that 1 = HCF(280,1) .
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Frequently Asked Questions on HCF of 601, 994, 929, 280 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 601, 994, 929, 280?
Answer: HCF of 601, 994, 929, 280 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 601, 994, 929, 280 using Euclid's Algorithm?
Answer: For arbitrary numbers 601, 994, 929, 280 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
