Highest Common Factor of 9140, 5310 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 9140, 5310 i.e. 10 the largest integer that leaves a remainder zero for all numbers.
HCF of 9140, 5310 is 10 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 9140, 5310 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 9140, 5310 is 10.
HCF(9140, 5310) = 10
HCF of 9140, 5310 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9140, 5310 is 10.
Highest Common Factor of 9140,5310 is 10
Step 1: Since 9140 > 5310, we apply the division lemma to 9140 and 5310, to get
9140 = 5310 x 1 + 3830
Step 2: Since the reminder 5310 ≠ 0, we apply division lemma to 3830 and 5310, to get
5310 = 3830 x 1 + 1480
Step 3: We consider the new divisor 3830 and the new remainder 1480, and apply the division lemma to get
3830 = 1480 x 2 + 870
We consider the new divisor 1480 and the new remainder 870,and apply the division lemma to get
1480 = 870 x 1 + 610
We consider the new divisor 870 and the new remainder 610,and apply the division lemma to get
870 = 610 x 1 + 260
We consider the new divisor 610 and the new remainder 260,and apply the division lemma to get
610 = 260 x 2 + 90
We consider the new divisor 260 and the new remainder 90,and apply the division lemma to get
260 = 90 x 2 + 80
We consider the new divisor 90 and the new remainder 80,and apply the division lemma to get
90 = 80 x 1 + 10
We consider the new divisor 80 and the new remainder 10,and apply the division lemma to get
80 = 10 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 10, the HCF of 9140 and 5310 is 10
Notice that 10 = HCF(80,10) = HCF(90,80) = HCF(260,90) = HCF(610,260) = HCF(870,610) = HCF(1480,870) = HCF(3830,1480) = HCF(5310,3830) = HCF(9140,5310) .
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Frequently Asked Questions on HCF of 9140, 5310 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 9140, 5310?
Answer: HCF of 9140, 5310 is 10 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9140, 5310 using Euclid's Algorithm?
Answer: For arbitrary numbers 9140, 5310 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.