Highest Common Factor of 6140, 7442 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 6140, 7442 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6140, 7442 is 2 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 6140, 7442 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 6140, 7442 is 2.
HCF(6140, 7442) = 2
HCF of 6140, 7442 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6140, 7442 is 2.
Highest Common Factor of 6140,7442 is 2
Step 1: Since 7442 > 6140, we apply the division lemma to 7442 and 6140, to get
7442 = 6140 x 1 + 1302
Step 2: Since the reminder 6140 ≠ 0, we apply division lemma to 1302 and 6140, to get
6140 = 1302 x 4 + 932
Step 3: We consider the new divisor 1302 and the new remainder 932, and apply the division lemma to get
1302 = 932 x 1 + 370
We consider the new divisor 932 and the new remainder 370,and apply the division lemma to get
932 = 370 x 2 + 192
We consider the new divisor 370 and the new remainder 192,and apply the division lemma to get
370 = 192 x 1 + 178
We consider the new divisor 192 and the new remainder 178,and apply the division lemma to get
192 = 178 x 1 + 14
We consider the new divisor 178 and the new remainder 14,and apply the division lemma to get
178 = 14 x 12 + 10
We consider the new divisor 14 and the new remainder 10,and apply the division lemma to get
14 = 10 x 1 + 4
We consider the new divisor 10 and the new remainder 4,and apply the division lemma to get
10 = 4 x 2 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6140 and 7442 is 2
Notice that 2 = HCF(4,2) = HCF(10,4) = HCF(14,10) = HCF(178,14) = HCF(192,178) = HCF(370,192) = HCF(932,370) = HCF(1302,932) = HCF(6140,1302) = HCF(7442,6140) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 6140, 7442 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 6140, 7442?
Answer: HCF of 6140, 7442 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6140, 7442 using Euclid's Algorithm?
Answer: For arbitrary numbers 6140, 7442 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.