Highest Common Factor of 488, 307, 938, 52 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 488, 307, 938, 52 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 488, 307, 938, 52 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 488, 307, 938, 52 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 488, 307, 938, 52 is 1.
HCF(488, 307, 938, 52) = 1
HCF of 488, 307, 938, 52 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 488, 307, 938, 52 is 1.
Highest Common Factor of 488,307,938,52 is 1
Step 1: Since 488 > 307, we apply the division lemma to 488 and 307, to get
488 = 307 x 1 + 181
Step 2: Since the reminder 307 ≠ 0, we apply division lemma to 181 and 307, to get
307 = 181 x 1 + 126
Step 3: We consider the new divisor 181 and the new remainder 126, and apply the division lemma to get
181 = 126 x 1 + 55
We consider the new divisor 126 and the new remainder 55,and apply the division lemma to get
126 = 55 x 2 + 16
We consider the new divisor 55 and the new remainder 16,and apply the division lemma to get
55 = 16 x 3 + 7
We consider the new divisor 16 and the new remainder 7,and apply the division lemma to get
16 = 7 x 2 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 488 and 307 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(16,7) = HCF(55,16) = HCF(126,55) = HCF(181,126) = HCF(307,181) = HCF(488,307) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 938 > 1, we apply the division lemma to 938 and 1, to get
938 = 1 x 938 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 938 is 1
Notice that 1 = HCF(938,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 52 > 1, we apply the division lemma to 52 and 1, to get
52 = 1 x 52 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 52 is 1
Notice that 1 = HCF(52,1) .
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Frequently Asked Questions on HCF of 488, 307, 938, 52 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 488, 307, 938, 52?
Answer: HCF of 488, 307, 938, 52 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 488, 307, 938, 52 using Euclid's Algorithm?
Answer: For arbitrary numbers 488, 307, 938, 52 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.