Highest Common Factor of 1391, 5250 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 1391, 5250 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1391, 5250 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 1391, 5250 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 1391, 5250 is 1.
HCF(1391, 5250) = 1
HCF of 1391, 5250 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1391, 5250 is 1.
Highest Common Factor of 1391,5250 is 1
Step 1: Since 5250 > 1391, we apply the division lemma to 5250 and 1391, to get
5250 = 1391 x 3 + 1077
Step 2: Since the reminder 1391 ≠ 0, we apply division lemma to 1077 and 1391, to get
1391 = 1077 x 1 + 314
Step 3: We consider the new divisor 1077 and the new remainder 314, and apply the division lemma to get
1077 = 314 x 3 + 135
We consider the new divisor 314 and the new remainder 135,and apply the division lemma to get
314 = 135 x 2 + 44
We consider the new divisor 135 and the new remainder 44,and apply the division lemma to get
135 = 44 x 3 + 3
We consider the new divisor 44 and the new remainder 3,and apply the division lemma to get
44 = 3 x 14 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 1391 and 5250 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(44,3) = HCF(135,44) = HCF(314,135) = HCF(1077,314) = HCF(1391,1077) = HCF(5250,1391) .
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Frequently Asked Questions on HCF of 1391, 5250 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 1391, 5250?
Answer: HCF of 1391, 5250 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1391, 5250 using Euclid's Algorithm?
Answer: For arbitrary numbers 1391, 5250 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.