Highest Common Factor of 938, 1557 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 938, 1557 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 938, 1557 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 938, 1557 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 938, 1557 is 1.
HCF(938, 1557) = 1
HCF of 938, 1557 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 938, 1557 is 1.
Highest Common Factor of 938,1557 is 1
Step 1: Since 1557 > 938, we apply the division lemma to 1557 and 938, to get
1557 = 938 x 1 + 619
Step 2: Since the reminder 938 ≠ 0, we apply division lemma to 619 and 938, to get
938 = 619 x 1 + 319
Step 3: We consider the new divisor 619 and the new remainder 319, and apply the division lemma to get
619 = 319 x 1 + 300
We consider the new divisor 319 and the new remainder 300,and apply the division lemma to get
319 = 300 x 1 + 19
We consider the new divisor 300 and the new remainder 19,and apply the division lemma to get
300 = 19 x 15 + 15
We consider the new divisor 19 and the new remainder 15,and apply the division lemma to get
19 = 15 x 1 + 4
We consider the new divisor 15 and the new remainder 4,and apply the division lemma to get
15 = 4 x 3 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 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 938 and 1557 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(15,4) = HCF(19,15) = HCF(300,19) = HCF(319,300) = HCF(619,319) = HCF(938,619) = HCF(1557,938) .
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Frequently Asked Questions on HCF of 938, 1557 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 938, 1557?
Answer: HCF of 938, 1557 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 938, 1557 using Euclid's Algorithm?
Answer: For arbitrary numbers 938, 1557 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.