Highest Common Factor of 508, 938 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 508, 938 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 508, 938 is 2 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 508, 938 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 508, 938 is 2.
HCF(508, 938) = 2
HCF of 508, 938 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 508, 938 is 2.
Highest Common Factor of 508,938 is 2
Step 1: Since 938 > 508, we apply the division lemma to 938 and 508, to get
938 = 508 x 1 + 430
Step 2: Since the reminder 508 ≠ 0, we apply division lemma to 430 and 508, to get
508 = 430 x 1 + 78
Step 3: We consider the new divisor 430 and the new remainder 78, and apply the division lemma to get
430 = 78 x 5 + 40
We consider the new divisor 78 and the new remainder 40,and apply the division lemma to get
78 = 40 x 1 + 38
We consider the new divisor 40 and the new remainder 38,and apply the division lemma to get
40 = 38 x 1 + 2
We consider the new divisor 38 and the new remainder 2,and apply the division lemma to get
38 = 2 x 19 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 508 and 938 is 2
Notice that 2 = HCF(38,2) = HCF(40,38) = HCF(78,40) = HCF(430,78) = HCF(508,430) = HCF(938,508) .
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Frequently Asked Questions on HCF of 508, 938 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 508, 938?
Answer: HCF of 508, 938 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 508, 938 using Euclid's Algorithm?
Answer: For arbitrary numbers 508, 938 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.