Highest Common Factor of 616, 938, 197, 575 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 616, 938, 197, 575 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 616, 938, 197, 575 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 616, 938, 197, 575 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 616, 938, 197, 575 is 1.
HCF(616, 938, 197, 575) = 1
HCF of 616, 938, 197, 575 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 616, 938, 197, 575 is 1.
Highest Common Factor of 616,938,197,575 is 1
Step 1: Since 938 > 616, we apply the division lemma to 938 and 616, to get
938 = 616 x 1 + 322
Step 2: Since the reminder 616 ≠ 0, we apply division lemma to 322 and 616, to get
616 = 322 x 1 + 294
Step 3: We consider the new divisor 322 and the new remainder 294, and apply the division lemma to get
322 = 294 x 1 + 28
We consider the new divisor 294 and the new remainder 28,and apply the division lemma to get
294 = 28 x 10 + 14
We consider the new divisor 28 and the new remainder 14,and apply the division lemma to get
28 = 14 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 14, the HCF of 616 and 938 is 14
Notice that 14 = HCF(28,14) = HCF(294,28) = HCF(322,294) = HCF(616,322) = HCF(938,616) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 197 > 14, we apply the division lemma to 197 and 14, to get
197 = 14 x 14 + 1
Step 2: Since the reminder 14 ≠ 0, we apply division lemma to 1 and 14, to get
14 = 1 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 14 and 197 is 1
Notice that 1 = HCF(14,1) = HCF(197,14) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 575 > 1, we apply the division lemma to 575 and 1, to get
575 = 1 x 575 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 575 is 1
Notice that 1 = HCF(575,1) .
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Frequently Asked Questions on HCF of 616, 938, 197, 575 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 616, 938, 197, 575?
Answer: HCF of 616, 938, 197, 575 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 616, 938, 197, 575 using Euclid's Algorithm?
Answer: For arbitrary numbers 616, 938, 197, 575 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
