Highest Common Factor of 6419, 7750 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 6419, 7750 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6419, 7750 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 6419, 7750 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 6419, 7750 is 1.
HCF(6419, 7750) = 1
HCF of 6419, 7750 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6419, 7750 is 1.
Highest Common Factor of 6419,7750 is 1
Step 1: Since 7750 > 6419, we apply the division lemma to 7750 and 6419, to get
7750 = 6419 x 1 + 1331
Step 2: Since the reminder 6419 ≠ 0, we apply division lemma to 1331 and 6419, to get
6419 = 1331 x 4 + 1095
Step 3: We consider the new divisor 1331 and the new remainder 1095, and apply the division lemma to get
1331 = 1095 x 1 + 236
We consider the new divisor 1095 and the new remainder 236,and apply the division lemma to get
1095 = 236 x 4 + 151
We consider the new divisor 236 and the new remainder 151,and apply the division lemma to get
236 = 151 x 1 + 85
We consider the new divisor 151 and the new remainder 85,and apply the division lemma to get
151 = 85 x 1 + 66
We consider the new divisor 85 and the new remainder 66,and apply the division lemma to get
85 = 66 x 1 + 19
We consider the new divisor 66 and the new remainder 19,and apply the division lemma to get
66 = 19 x 3 + 9
We consider the new divisor 19 and the new remainder 9,and apply the division lemma to get
19 = 9 x 2 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6419 and 7750 is 1
Notice that 1 = HCF(9,1) = HCF(19,9) = HCF(66,19) = HCF(85,66) = HCF(151,85) = HCF(236,151) = HCF(1095,236) = HCF(1331,1095) = HCF(6419,1331) = HCF(7750,6419) .
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Frequently Asked Questions on HCF of 6419, 7750 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 6419, 7750?
Answer: HCF of 6419, 7750 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6419, 7750 using Euclid's Algorithm?
Answer: For arbitrary numbers 6419, 7750 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.