Highest Common Factor of 1340, 4908 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 1340, 4908 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 1340, 4908 is 4 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 1340, 4908 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 1340, 4908 is 4.
HCF(1340, 4908) = 4
HCF of 1340, 4908 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1340, 4908 is 4.
Highest Common Factor of 1340,4908 is 4
Step 1: Since 4908 > 1340, we apply the division lemma to 4908 and 1340, to get
4908 = 1340 x 3 + 888
Step 2: Since the reminder 1340 ≠ 0, we apply division lemma to 888 and 1340, to get
1340 = 888 x 1 + 452
Step 3: We consider the new divisor 888 and the new remainder 452, and apply the division lemma to get
888 = 452 x 1 + 436
We consider the new divisor 452 and the new remainder 436,and apply the division lemma to get
452 = 436 x 1 + 16
We consider the new divisor 436 and the new remainder 16,and apply the division lemma to get
436 = 16 x 27 + 4
We consider the new divisor 16 and the new remainder 4,and apply the division lemma to get
16 = 4 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 1340 and 4908 is 4
Notice that 4 = HCF(16,4) = HCF(436,16) = HCF(452,436) = HCF(888,452) = HCF(1340,888) = HCF(4908,1340) .
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Frequently Asked Questions on HCF of 1340, 4908 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 1340, 4908?
Answer: HCF of 1340, 4908 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1340, 4908 using Euclid's Algorithm?
Answer: For arbitrary numbers 1340, 4908 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.